# 4-7 Operating With Matrices

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A quiz about math and matrices chapter 4 in Algebra 2 books.

• 1.

### What is Scalar Multiplication?

• A.

The constant used to multiply into a matrix.

• B.

The operation of multiplying the matrix by another matrix.

• C.

The operation of multiplying the scalar to a matrix using distribution.

C. The operation of multiplying the scalar to a matrix using distribution.
Explanation
Scalar multiplication refers to the operation of multiplying a scalar (a constant) to a matrix. This operation is performed by multiplying each element of the matrix by the scalar value. The term "distribution" refers to the fact that the scalar is distributed to each element of the matrix. This process is essential in linear algebra and is used to scale matrices, which can affect their size, shape, and direction.

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• 2.

### When can you add or subtract matrices?

• A.

When they have the same numbers in each matrix.

• B.

Only when its an equal matrix.

• C.

Only when the dimensions are the same.

C. Only when the dimensions are the same.
Explanation
Matrices can only be added or subtracted when they have the same dimensions. The dimensions of a matrix refer to the number of rows and columns it has. In order for addition or subtraction to be possible, the matrices must have the same number of rows and the same number of columns. If the dimensions are not the same, it is not possible to perform these operations. Therefore, the correct answer is that matrices can only be added or subtracted when the dimensions are the same.

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• 3.

### What row and column is the letter Z? | A B C D  F | | O Y X  K V |   | W Q Z U P |

• A.

2nd row,3rd column

• B.

1st row, 5th column

• C.

3rd row, 4th column

• D.

3rd row, 3rd column

D. 3rd row, 3rd column
Explanation
The letter Z is located in the 3rd row and 3rd column of the given grid.

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• 4.

### Going in Alphabetical order which scalar do you multiply the W matrix by?A= [ 4 5 8 9 2]   C= [ 7 8 4 9 2]    X= [ 2 5 9 6]   W= [ 4 5 8 9]                                                      [ 4 8 7 2]         [ 2 5 8 7]Scalars:  5  4  8  9

• A.

8

• B.

4

• C.

9

• D.

5

A. 8
Explanation
The scalar that the W matrix is multiplied by is 8. This can be determined by looking at the given matrix W and identifying the corresponding scalar in the list of scalars. In this case, the scalar 8 is located in the last row of the list. Therefore, the correct answer is 8.

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• 5.

### Addition: A+B          A=[ 4 5 6 ]    +    B=[ 4 -8 6]                                   [ 2 7-3 ]              [ 8 5  7]

• A.

[ 8 -2 12] [ 12 10 4]

• B.

[ 8 -3 12] [ 10 12 4]

• C.

[ 8 3 12] [10 12 4]

• D.

None of the above

B. [ 8 -3 12] [ 10 12 4]
Explanation
The correct answer is [ 8 -3 12] [ 10 12 4]. This is the correct result of adding the matrices A and B. The addition of matrices is done by adding the corresponding elements in each matrix. In this case, the first element in A is 4 and the first element in B is 4, so their sum is 8. Similarly, the second element in A is 5 and the second element in B is -8, so their sum is -3. The third element in A is 6 and the third element in B is 6, so their sum is 12. Therefore, the correct answer is [ 8 -3 12] [ 10 12 4].

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• 6.

### If Y= [ 5 -6], find 7Y        [-8  7]

• A.

[35 -42] [-56 49]

• B.

[35 42] [-56 49]

• C.

[35 40] [56 49]

• D.

None of the above

A. [35 -42] [-56 49]
Explanation
The given question asks to find the result of multiplying the matrix Y by 7. Matrix Y is given as [ 5 -6] and [-8 7]. To find 7Y, we simply multiply each element of the matrix Y by 7. Therefore, the correct answer is [35 -42] and [-56 49].

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• 7.

..
• 8.

### Perform the indicated matrix operation if matrix does not exist write impossible.a)                                                                       b) [ 5  4  6 2] + [ 4  5  6 8 ]                                          [ -5  6 3]  - [ 5 -8 10]                   [ 5  7  8  3]                                          [ 2 -4 -6]    [ -2 5 12]c) 10C - 5D                                                      d) [ 1/2  6  3]  +  [ 1/2  4  9]     C=[ 2 -5 -8 7]       D=[ 6 5 8 3]                          [ 3  3/2  9]      [ 4 -3/2  7]         [ -3 5 8 -4]     -     [ -5 4 3 6]         [  4 2 3 10]          [ 12 5 7 4]

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• Current Version
• Mar 22, 2023
Quiz Edited by
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• Jan 03, 2010
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