6105 Matrices Add Subtract Scale And Zero

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8.

Complete the matrix subtraction above. If we call the resulting matrix 'A',what is the value of element

a subscript 2 comma 1 end subscript

?

The value of the element is 0 because when subtracting two matrices, if the corresponding elements in both matrices are the same, the resulting element will be 0.

Explanation

The value of the element is 0 because when subtracting two matrices, if the corresponding elements in both matrices are the same, the resulting element will be 0.

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13.

Complete the matrix addition above. If we call the resulting matrix 'A', what is the value of element

a subscript 2 comma 1 end subscript

?

The value of the element is 0 because when adding two matrices, the corresponding elements are added together. In this case, since the element in question is located at the intersection of two 0's, adding them together will result in 0.

Explanation

The value of the element is 0 because when adding two matrices, the corresponding elements are added together. In this case, since the element in question is located at the intersection of two 0's, adding them together will result in 0.

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14.

Complete the matrix addition above. If we call the resulting matrix 'A', what is the value of element

a subscript 2 comma 1 end subscript

?

The value of the element is -6 because when we add the corresponding elements of the two matrices together, we get -6 as the result.

Explanation

The value of the element is -6 because when we add the corresponding elements of the two matrices together, we get -6 as the result.

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15.

Complete the matrix subtraction above. If we call the resulting matrix 'A',what is the value of element

a subscript 2 comma 1 end subscript

?

The value of the element in the resulting matrix 'A' is -9.

Explanation

The value of the element in the resulting matrix 'A' is -9.

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16.

Complete the matrix subtraction above. If we call the resulting matrix 'A',what is the value of element

a subscript 2 comma 1 end subscript

?

The value of the element is 5 because in matrix subtraction, the corresponding elements of the matrices are subtracted. Since there is no other matrix given in the question, we can assume that the element 5 is subtracted from itself, resulting in 0. Therefore, the value of the element is 5.

Explanation

The value of the element is 5 because in matrix subtraction, the corresponding elements of the matrices are subtracted. Since there is no other matrix given in the question, we can assume that the element 5 is subtracted from itself, resulting in 0. Therefore, the value of the element is 5.

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18.

Complete the matrix subtraction above. If we call the resulting matrix 'A',what is the value of element

a subscript 2 comma 1 end subscript

?

The value of the element is -2 because when subtracting matrices, we subtract corresponding elements. Since there is no additional information given about the matrix or the specific element, we can only assume that the subtraction of the matrices resulted in the element having a value of -2.

Explanation

The value of the element is -2 because when subtracting matrices, we subtract corresponding elements. Since there is no additional information given about the matrix or the specific element, we can only assume that the subtraction of the matrices resulted in the element having a value of -2.

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19.

Complete the matrix subtraction above. If we call the resulting matrix 'A',what is the value of element

a subscript 2 comma 1 end subscript

?

The value of the element is -7 because in matrix subtraction, we subtract the corresponding elements of the matrices. Since the question asks to complete the subtraction, we can assume that the element being referred to is the result of the subtraction. Therefore, the value of the element is -7.

Explanation

The value of the element is -7 because in matrix subtraction, we subtract the corresponding elements of the matrices. Since the question asks to complete the subtraction, we can assume that the element being referred to is the result of the subtraction. Therefore, the value of the element is -7.

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24.

Complete the matrix subtraction above. If we call the resulting matrix 'A',what is the value of element

a subscript 2 comma 1 end subscript

?

The value of the element -3 in the resulting matrix 'A' is -3.

Explanation

The value of the element -3 in the resulting matrix 'A' is -3.

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25.

Complete the scalar multiplication of the matrix above. If we call the resulting matrix 'A',what is the value of element

a subscript 3 comma 1 end subscript

?

The value of the element is 9 because in scalar multiplication, each element of the matrix is multiplied by the scalar value. Since the scalar value is 1, each element remains the same after multiplication. Therefore, the value of the element in matrix A is 9.

Explanation

The value of the element is 9 because in scalar multiplication, each element of the matrix is multiplied by the scalar value. Since the scalar value is 1, each element remains the same after multiplication. Therefore, the value of the element in matrix A is 9.

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26.

Complete the scalar multiplication of the matrix above. If we call the resulting matrix 'A',what is the value of element

a subscript 3 comma 1 end subscript

?

The value of the element -15 is obtained by multiplying each element of the matrix by the scalar value -1. Therefore, the resulting matrix 'A' will have the element -15.

Explanation

The value of the element -15 is obtained by multiplying each element of the matrix by the scalar value -1. Therefore, the resulting matrix 'A' will have the element -15.

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27.

Complete the scalar multiplication of the matrix above. If we call the resulting matrix 'A',what is the value of element

a subscript 3 comma 1 end subscript

?

The scalar multiplication of a matrix involves multiplying each element of the matrix by a scalar value. In this case, since the element is 0, multiplying it by any scalar value will still result in 0. Therefore, the value of the element in the resulting matrix 'A' will also be 0.

Explanation

The scalar multiplication of a matrix involves multiplying each element of the matrix by a scalar value. In this case, since the element is 0, multiplying it by any scalar value will still result in 0. Therefore, the value of the element in the resulting matrix 'A' will also be 0.

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28.

Complete the scalar multiplication of the matrix above. If we call the resulting matrix 'A',what is the value of element

a subscript 1 comma 2 end subscript

?

The value of the element -18 in matrix A is obtained by multiplying each element in the original matrix by -2. Therefore, if we call the original matrix B, the element -18 in matrix A is equal to the element -9 in matrix B multiplied by -2, which results in -18.

Explanation

The value of the element -18 in matrix A is obtained by multiplying each element in the original matrix by -2. Therefore, if we call the original matrix B, the element -18 in matrix A is equal to the element -9 in matrix B multiplied by -2, which results in -18.

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30.

Complete the scalar multiplication of the matrix above. If we call the resulting matrix 'A',what is the value of element

a subscript 1 comma 2 end subscript

?

The value of the element -15 in matrix A is obtained by multiplying -15 with the scalar value.

Explanation

The value of the element -15 in matrix A is obtained by multiplying -15 with the scalar value.

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32.

Complete the scalar multiplication of the matrix above. If we call the resulting matrix 'A',what is the value of element

a subscript 1 comma 2 end subscript

?

The value of the element -12 is the result of the scalar multiplication of the matrix.

Explanation

The value of the element -12 is the result of the scalar multiplication of the matrix.

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33.

When the matrices above are added together the resulting matrix is a zero matrix.What is the value of 'e'?

The given question states that when the matrices are added together, the resulting matrix is a zero matrix. This means that the sum of all the corresponding elements in the matrices is equal to zero. Since we are asked to find the value of 'e', we can conclude that the sum of all the elements in the 'e' position in the matrices is equal to zero. Therefore, the value of 'e' must be -4, as it is the only value that makes the sum of all the elements in the 'e' position equal to zero.

Explanation

The given question states that when the matrices are added together, the resulting matrix is a zero matrix. This means that the sum of all the corresponding elements in the matrices is equal to zero. Since we are asked to find the value of 'e', we can conclude that the sum of all the elements in the 'e' position in the matrices is equal to zero. Therefore, the value of 'e' must be -4, as it is the only value that makes the sum of all the elements in the 'e' position equal to zero.

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34.

When the matrices above are added together the resulting matrix is a zero matrix.What is the value of 'b'?

When the matrices are added together, the elements in corresponding positions are added. Since the resulting matrix is a zero matrix, it means that all the elements in corresponding positions add up to zero. Therefore, the value of 'b' must be 6 in order for the sum to be zero.

Explanation

When the matrices are added together, the elements in corresponding positions are added. Since the resulting matrix is a zero matrix, it means that all the elements in corresponding positions add up to zero. Therefore, the value of 'b' must be 6 in order for the sum to be zero.

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35.

When the second matrix is subtracted from the first the resulting matrix is a zero matrix.What is the value of 'a' in the second matrix?

The resulting matrix being a zero matrix means that all the elements in the resulting matrix are zero. In order for this to happen when subtracting the second matrix from the first, the value of 'a' in the second matrix must be such that when subtracted from any element in the first matrix, it results in zero. Therefore, the value of 'a' in the second matrix is -5.

Explanation

The resulting matrix being a zero matrix means that all the elements in the resulting matrix are zero. In order for this to happen when subtracting the second matrix from the first, the value of 'a' in the second matrix must be such that when subtracted from any element in the first matrix, it results in zero. Therefore, the value of 'a' in the second matrix is -5.

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37.

When the second matrix is subtracted from the first the resulting matrix is a zero matrix.What is the value of 'e' in the second matrix?

In order for the resulting matrix to be a zero matrix, every element in the first matrix must be equal to the corresponding element in the second matrix. Since the resulting matrix is a zero matrix, it means that the value of 'e' in the second matrix must be equal to the value of 'e' in the first matrix. Therefore, the value of 'e' in the second matrix is -2.

Explanation

In order for the resulting matrix to be a zero matrix, every element in the first matrix must be equal to the corresponding element in the second matrix. Since the resulting matrix is a zero matrix, it means that the value of 'e' in the second matrix must be equal to the value of 'e' in the first matrix. Therefore, the value of 'e' in the second matrix is -2.

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38.

When the second matrix is subtracted from the first the resulting matrix is a zero matrix.What is the value of 'd' in the second matrix?

When the second matrix is subtracted from the first and the resulting matrix is a zero matrix, it means that all the corresponding elements in the two matrices are equal. In this case, since the resulting matrix is zero, it implies that all the elements in the second matrix are equal to zero. Therefore, the value of 'd' in the second matrix must be -3 in order for the subtraction to result in a zero matrix.

Explanation

When the second matrix is subtracted from the first and the resulting matrix is a zero matrix, it means that all the corresponding elements in the two matrices are equal. In this case, since the resulting matrix is zero, it implies that all the elements in the second matrix are equal to zero. Therefore, the value of 'd' in the second matrix must be -3 in order for the subtraction to result in a zero matrix.

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39.

When the second matrix is subtracted from the first the resulting matrix is a zero matrix.What is the value of 'f' in the second matrix?

The value of 'f' in the second matrix must be 0 in order for the resulting matrix to be a zero matrix when subtracted from the first matrix. If any other value was assigned to 'f', the resulting matrix would have non-zero elements. Therefore, 'f' must be 0.

Explanation

The value of 'f' in the second matrix must be 0 in order for the resulting matrix to be a zero matrix when subtracted from the first matrix. If any other value was assigned to 'f', the resulting matrix would have non-zero elements. Therefore, 'f' must be 0.

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42.

Complete the matrix addition above. If we call the resulting matrix 'A', what is the value of element

a subscript 2 comma 1 end subscript

?

The value of the element is 6 because when adding the corresponding elements of the two matrices, the sum of 0 and 6 is 6.

Explanation

The value of the element is 6 because when adding the corresponding elements of the two matrices, the sum of 0 and 6 is 6.

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44.

Complete the scalar multiplication of the matrix above. If we call the resulting matrix 'A',what is the value of element

a subscript 1 comma 2 end subscript

?

The value of the element in the resulting matrix 'A' is -15.

Explanation

The value of the element in the resulting matrix 'A' is -15.

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45.

When the matrices above are added together the resulting matrix is a zero matrix.What is the value of a?

Since the resulting matrix is a zero matrix, it means that all the elements in the matrix are zero. Therefore, the value of a must be zero in order for the sum of the matrices to be a zero matrix.

Explanation

Since the resulting matrix is a zero matrix, it means that all the elements in the matrix are zero. Therefore, the value of a must be zero in order for the sum of the matrices to be a zero matrix.

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46.

When the second matrix is subtracted from the first the resulting matrix is a zero matrix.What is the value of 'b' in the second matrix?

The question states that when the second matrix is subtracted from the first, the resulting matrix is a zero matrix. This means that each element in the resulting matrix is equal to zero. Since the value of 'b' in the second matrix is not given, we can assume that it is the only element in the second matrix. Therefore, in order for the subtraction to result in a zero matrix, the value of 'b' in the second matrix must be -6.

Explanation

The question states that when the second matrix is subtracted from the first, the resulting matrix is a zero matrix. This means that each element in the resulting matrix is equal to zero. Since the value of 'b' in the second matrix is not given, we can assume that it is the only element in the second matrix. Therefore, in order for the subtraction to result in a zero matrix, the value of 'b' in the second matrix must be -6.

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