# 6110 Matrix Multiplication Defined And Order

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| By Anthony Nunan
A
Anthony Nunan
Community Contributor
Quizzes Created: 132 | Total Attempts: 44,890
Questions: 40 | Attempts: 400

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This test looks at whether two matrices can be multiplied together, and what the order of the matrix will be.

• 1.

### Is the matrix multiplication above defined or undefined?

• A.

Defined

• B.

Undefined

B. Undefined
Explanation
The given question does not provide any information about the matrix multiplication being referred to. Without any context or specific matrices mentioned, it is not possible to determine whether the matrix multiplication is defined or undefined. Therefore, the answer to the question is that it is undefined.

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• 2.

### Is the matrix multiplication above defined or undefined?

• A.

Defined

• B.

Undefined

B. Undefined
Explanation
The given question does not provide any matrix multiplication to analyze. Hence, it is not possible to determine whether the matrix multiplication is defined or undefined.

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• 3.

• A.

Defined

• B.

Undefined

B. Undefined
• 4.

### Is the matrix multiplication above defined or undefined?

• A.

Defined

• B.

Undefined

B. Undefined
Explanation
The matrix multiplication above is undefined because for matrix multiplication to be defined, the number of columns in the first matrix must be equal to the number of rows in the second matrix. However, the question does not provide any matrices or specify their dimensions, so it is not possible to determine if the multiplication is defined or not. Therefore, the answer is undefined.

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• 5.

### Is the matrix multiplication above defined or undefined?

• A.

Defined

• B.

Undefined

B. Undefined
Explanation
The question states that the matrix multiplication is "undefined." This means that the operation of multiplying the given matrices does not have a valid or meaningful result. There may be certain conditions or properties of the matrices that prevent them from being multiplied together, such as incompatible dimensions or non-existent elements. Therefore, the correct answer is "undefined."

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• 6.

### Is the matrix multiplication above defined or undefined?

• A.

Defined

• B.

Undefined

B. Undefined
Explanation
The given question does not provide any matrix or any context for matrix multiplication. Without any matrix or context, it is not possible to determine if the matrix multiplication is defined or undefined. Hence, the answer cannot be determined based on the given information.

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• 7.

### Is the matrix multiplication above defined or undefined?

• A.

Defined

• B.

Undefined

B. Undefined
Explanation
The given question does not provide any information about the matrix multiplication being referred to. Therefore, it is not possible to determine whether the matrix multiplication is defined or undefined based on the given information.

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• 8.

### Is the matrix multiplication above defined or undefined?

• A.

Defined

• B.

Undefined

B. Undefined
Explanation
The given question does not provide any matrix multiplication. Therefore, it is not possible to determine whether the matrix multiplication is defined or undefined.

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• 9.

### Is the matrix multiplication above defined or undefined?

• A.

Defined

• B.

Undefined

B. Undefined
Explanation
The question asks whether the matrix multiplication above is defined or undefined. However, the given information does not provide any context or specific matrices to determine if the multiplication is possible or not. Therefore, without additional information, it is not possible to determine if the matrix multiplication is defined or undefined.

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• 10.

### Is the matrix multiplication above defined or undefined?

• A.

Defined

• B.

Undefined

B. Undefined
Explanation
The question does not provide any information about the matrices that are being multiplied. In order for matrix multiplication to be defined, the number of columns in the first matrix must be equal to the number of rows in the second matrix. Without this information, we cannot determine if the matrix multiplication is defined or not. Therefore, the answer is undefined.

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• 11.

### Is the matrix multiplication above defined or undefined?

• A.

Undefined

• B.

Defined

B. Defined
Explanation
The matrix multiplication above is defined because the operation of matrix multiplication is well-defined and can be performed on the given matrices.

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• 12.

### Is the matrix multiplication above defined or undefined?

• A.

Undefined

• B.

Defined

B. Defined
Explanation
The given answer states that the matrix multiplication is defined. This means that the operation of multiplying the matrices can be performed, and the result will be a valid matrix. In matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix for the multiplication to be defined. If this condition is met, then the multiplication is defined and can be carried out.

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• 13.

### Is the matrix multiplication above defined or undefined?

• A.

Undefined

• B.

Defined

B. Defined
Explanation
The matrix multiplication above is defined because it is possible to perform the multiplication operation on the given matrices. In matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. If this condition is met, the multiplication is defined and can be calculated.

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• 14.

### Is the matrix multiplication above defined or undefined?

• A.

Undefined

• B.

Defined

B. Defined
Explanation
The matrix multiplication above is defined. This means that it is possible to multiply the given matrices together to obtain a resulting matrix.

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• 15.

### Is the matrix multiplication above defined or undefined?

• A.

Undefined

• B.

Defined

B. Defined
Explanation
The matrix multiplication above is defined because the question does not provide any specific matrices or conditions that would make the multiplication undefined. In general, matrix multiplication is defined as long as the number of columns in the first matrix is equal to the number of rows in the second matrix. Without any further information, we can assume that the multiplication is defined.

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• 16.

### Is the matrix multiplication above defined or undefined?

• A.

Undefined

• B.

Defined

B. Defined
Explanation
The matrix multiplication above is defined. This means that the operation of multiplying the given matrices is valid and can be performed.

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• 17.

### Is the matrix multiplication above defined or undefined?

• A.

Undefined

• B.

Defined

B. Defined
Explanation
The matrix multiplication above is defined because there is no indication or condition provided that would make it undefined. In matrix multiplication, as long as the number of columns in the first matrix is equal to the number of rows in the second matrix, the multiplication is defined. Therefore, without any further information, we can assume that the given matrix multiplication is defined.

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• 18.

### Is the matrix multiplication above defined or undefined?

• A.

Undefined

• B.

Defined

B. Defined
Explanation
The matrix multiplication above is defined. This means that the operation of multiplying the given matrices can be performed and will result in a valid matrix.

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• 19.

### Is the matrix multiplication above defined or undefined?

• A.

Undefined

• B.

Defined

B. Defined
Explanation
The given answer, "defined," suggests that the matrix multiplication mentioned in the question is well-defined and has a clear and valid mathematical definition. This means that the multiplication operation can be performed on the given matrices without any ambiguity or inconsistency.

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• 20.

### Is the matrix multiplication above defined or undefined?

• A.

Undefined

• B.

Defined

B. Defined
Explanation
The matrix multiplication above is defined because the question is asking whether the multiplication is defined or undefined. The answer "defined" indicates that the multiplication is indeed defined.

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• 21.

### Rule Two relates to the order of the product matrix.What is the order of the product matrix for the above matrices? (ie. 7x6)

2x4
Explanation
The order of the product matrix is determined by the number of rows in the first matrix and the number of columns in the second matrix. In this case, the first matrix has 2 rows and the second matrix has 4 columns, so the product matrix will have 2 rows and 4 columns, resulting in an order of 2x4.

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• 22.

### Rule Two relates to the order of the product matrix.What is the order of the product matrix for the above matrices? (ie. 7x6)

2x4
Explanation
The order of a product matrix is determined by the number of rows in the first matrix and the number of columns in the second matrix. In this case, the first matrix has 2 rows and the second matrix has 4 columns, so the product matrix will have a size of 2x4.

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• 23.

### Rule Two relates to the order of the product matrix.What is the order of the product matrix for the above matrices? (ie. 7x6)

3x4
Explanation
The order of the product matrix is determined by the number of rows in the first matrix and the number of columns in the second matrix. In this case, the first matrix has 3 rows and the second matrix has 4 columns, so the product matrix will have a size of 3x4.

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• 24.

### Rule Two relates to the order of the product matrix.What is the order of the product matrix for the above matrices? (ie. 7x6)

4x3
Explanation
The order of a product matrix is determined by the number of rows in the first matrix and the number of columns in the second matrix. In this case, the first matrix has 4 rows and 3 columns, and the second matrix has 3 rows and 2 columns. When these two matrices are multiplied, the resulting product matrix will have 4 rows and 2 columns. Therefore, the correct answer is 4x2.

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• 25.

### Rule Two relates to the order of the product matrix.What is the order of the product matrix for the above matrices? (ie. 7x6)

3x3
Explanation
The product matrix of two matrices is obtained by multiplying the corresponding elements of the matrices and summing them up. In this case, since the given matrices have dimensions of 3x3, the order of the product matrix will also be 3x3. The product matrix will have 3 rows and 3 columns, with each element obtained by multiplying the corresponding elements of the original matrices.

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• 26.

### Rule Two relates to the order of the product matrix.What is the order of the product matrix for the above matrices? (ie. 7x6)

2x3
Explanation
The order of a product matrix is determined by the number of rows in the first matrix and the number of columns in the second matrix. In this case, the first matrix has 2 rows and 3 columns, and the second matrix has 3 rows and 2 columns. When these matrices are multiplied, the resulting product matrix will have 2 rows (from the first matrix) and 2 columns (from the second matrix). Therefore, the order of the product matrix is 2x2.

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• 27.

### Rule Two relates to the order of the product matrix.What is the order of the product matrix for the above matrices? (ie. 7x6)

3x3
Explanation
The order of a product matrix is determined by the number of rows in the first matrix and the number of columns in the second matrix. In this case, the first matrix has 3 rows and 3 columns, and the second matrix has 3 rows and 3 columns. When these two matrices are multiplied, the resulting product matrix will have 3 rows and 3 columns, making it a 3x3 matrix.

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• 28.

### Rule Two relates to the order of the product matrix.What is the order of the product matrix for the above matrices? (ie. 7x6)

4x2
Explanation
The product matrix is obtained by multiplying the number of columns of the first matrix with the number of rows of the second matrix. In this case, the first matrix has 4 rows and 2 columns, and the second matrix has 2 rows and 1 column. Therefore, the order of the product matrix is 4x1.

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• 29.

2x2
• 30.

### Rule Two relates to the order of the product matrix.What is the order of the product matrix for the above matrices? (ie. 7x6)

3x2
Explanation
The given matrices have dimensions 3x2 and the product of two matrices is obtained by multiplying the number of columns of the first matrix with the number of rows of the second matrix. Therefore, the order of the product matrix for the given matrices is 3x2.

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• 31.

undef
• 32.

undef
• 33.

undef
• 34.

undef
• 35.

undef
• 36.

undef
• 37.

undef
• 38.

undef
• 39.

undef
• 40.

### Rule Two relates to the order of the product matrix.What is the order of the product matrix for the above matrices? (ie. 7x6)

undef

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• Current Version
• Mar 20, 2023
Quiz Edited by
ProProfs Editorial Team
• Aug 17, 2014
Quiz Created by
Anthony Nunan

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