Matrices

Practice Questions

SAT Subject Test in Math I › Matrices

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10 of 17

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

Let $A = \begin{bmatrix} 6&4 \ 8&d \end{bmatrix}$

Which of the following values of makes a matrix without an inverse?

3

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

What is ?

4

Define $A = \begin{bmatrix} 5& 10\ -6 & -12 \end{bmatrix}$ .

Give $A^{-1}$ .

5

$\textup{Let }A = \begin{bmatrix} -2 &x \ 5 & x- 7 \end{bmatrix}$ .

$\textup{Which of the following values of }x\textup{ makes a matrix without an inverse?}$

6

Let equal the following:

$A = \begin{bmatrix} 4 &x \ x&-64\end{bmatrix}$ .

Which of the following real values of makes a matrix without an inverse?

7

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

8

Give the determinant of the matrix $\begin{bmatrix} x&8 \ 6& x \end{bmatrix}$

9

Simplify:

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

10

Let $A = \begin{bmatrix} 3&2 \ 5& 4 \end{bmatrix}$ and $B = A^{-1}$ .

Evaluate $b_{21}$ .

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