Understanding the Multiplication Concept in Matrices as the Associative and Distributive Properties: CCSS.Math.Content.HSN-VM.C.9

Practice Questions

Common Core: High School - Number and Quantity › Understanding the Multiplication Concept in Matrices as the Associative and Distributive Properties: CCSS.Math.Content.HSN-VM.C.9

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1

True or False:

The following matrix multiplication is possible.

$\begin{bmatrix} 4&3 &2 \end{bmatrix} \begin{bmatrix} 6\ 7\ 8 \end{bmatrix}$

2

True or False:

The following matrix multiplication is possible.

$\begin{bmatrix} 4& 5& 6\ 2& 3& 4 \end{bmatrix}\begin{bmatrix} 1&2 &3 \ 8&6 & 4\ 2& 4& 10 \end{bmatrix}$

3

Why doesn't the commutative property hold for matrix multiplication?

4

Which matrix when multiplied with

$\begin{bmatrix} 1&3 \ 5& -4 \end{bmatrix}$

will yield the same result regardless of the order in which they're multiplied?

5

True or False: The following matrix product is possible.

$\begin{bmatrix} 3& 2 \end{bmatrix}\begin{bmatrix} 3& 4 \end{bmatrix}$

6

True or False:

The following matrix multiplication is possible.

$\begin{bmatrix} 4& 5& 6& 7\ 9& 0& 5&4 \end{bmatrix} \begin{bmatrix} 3& 4& 6& 7\ 34& 76& 9& 90\ 1& 3& 4& 67 \end{bmatrix}$

7

Which is an example of two matrices satisfying the distributive properties? Let be a scalar, and ,, and be three unique matrices.

8

True or False: If and are square matrices, is ?

9

True or False:

The following matrix multiplication is possible

$\begin{bmatrix} 3 \end{bmatrix} \begin{bmatrix} 4&5 &6 &7 &8 \end{bmatrix}$

10

Which of the following properties does not apply to matrices?

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