Matrices

Practice Questions

SAT Subject Test in Math II › Matrices

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1

If $\begin{bmatrix} a&b\ c&d \end{bmatrix} + \begin{bmatrix} 3&14\ 12&4 \end{bmatrix} = \begin{bmatrix} 19&2\ 4&5 \end{bmatrix}$ , what is ?

2

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

What is ?

3

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

4

Let $A = \begin{bmatrix} 5& -4\ -2& -7 \end{bmatrix}$ and be the 2 x 2 identity matrix.

Let .

Which of the following is equal to ?

5

Simplify:

$\begin{bmatrix} 13 & 4\ 71 &3 \end{bmatrix} + 4\begin{bmatrix} 5 & 3\ 11 &22 \end{bmatrix}$

6

$A = \begin{bmatrix} x+8& 7\ 5& x - 7 \end{bmatrix}$

$B = \begin{bmatrix} 4&x-6 \ x-7 & 2 \end{bmatrix}$

Calculate:

7

Let $A = \begin{bmatrix} 3& 2\ 4& 3\ -5& 0 \end{bmatrix}$ .

Give $A^{-1}$ .

8

$A = \begin{bmatrix} 8& x\ x& 4 \end{bmatrix}$

For which of the following real values of does have determinant of sixteen?

9

$A = \begin{bmatrix} 0&0& 0 & 3\ 0& 0 & 3& 0\ 0& 3& 0& 0 \3& 0&0& 0 \end{bmatrix}$

Evaluate $A^{2}$ .

10

Multiply:

$\begin{bmatrix} x& 8\ -6& t \end{bmatrix}\begin{bmatrix} t& x \end{bmatrix}$

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