Multiplication of Matrices

Practice Questions

Pre-Calculus › Multiplication of Matrices

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1

$5\begin{bmatrix} a \ b \end{bmatrix} = 14\begin{bmatrix} 20 \ 12 \end{bmatrix}$

What is ?

2

$5\begin{bmatrix} a \ b \end{bmatrix} = 14\begin{bmatrix} 20 \ 12 \end{bmatrix}$

What is ?

3

We consider the matrices and that we assume of the same size .

$A=\begin{bmatrix} 34&0 &\cdots &0\ 34 &0 &\cdots &0 \\vdots &\vdots &\vdots &\vdots \ 34&0 &0 &0 \end{bmatrix},B=\begin{bmatrix} 0&2 &\cdots &0\ 0 &2&\cdots &0 \\vdots &\vdots &\vdots &\vdots \ 0&2 &0 &0 \end{bmatrix}$

Find the product .

4

We consider the matrices and that we assume of the same size .

$A=\begin{bmatrix} 34&0 &\cdots &0\ 34 &0 &\cdots &0 \\vdots &\vdots &\vdots &\vdots \ 34&0 &0 &0 \end{bmatrix},B=\begin{bmatrix} 0&2 &\cdots &0\ 0 &2&\cdots &0 \\vdots &\vdots &\vdots &\vdots \ 0&2 &0 &0 \end{bmatrix}$

Find the product .

5

If $\frac{1}{2}$\bigl(\begin{smallmatrix} 2a\4b \end{smallmatrix} \bigr)$=$\bigl(\begin{smallmatrix} 53 \ 98 \end{smallmatrix} \bigr)$$ , what is ?

6

If $\frac{1}{2}$\bigl(\begin{smallmatrix} 2a\4b \end{smallmatrix} \bigr)$=$\bigl(\begin{smallmatrix} 53 \ 98 \end{smallmatrix} \bigr)$$ , what is ?

7

$A=\begin{bmatrix} 3\ -10\ 21 \end{bmatrix}$

$B=\begin{bmatrix} 5 & 0 & -1 \ 2 & 1 & 3 \end{bmatrix}$

Find .

8

$A=\begin{bmatrix} 3\ -10\ 21 \end{bmatrix}$

$B=\begin{bmatrix} 5 & 0 & -1 \ 2 & 1 & 3 \end{bmatrix}$

Find .

9

We consider the two matrices and defined below:

$A=\begin{bmatrix} 1\2 \\3 \4 \end{bmatrix}$ , $B=\begin{bmatrix} 1 &0 &1 \end{bmatrix}$

What is the matrix ?

10

Multiply $\small \begin{bmatrix} 2 &-1 &4 \ 1& 0& 2\3 &1 &-3 \end{bmatrix}*\begin{bmatrix} 10\-4 \1 \end{bmatrix}$

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