Scalar times 2×2 matrix Practice Questions (Grade 9)

Warm-upeasy

What is $4\begin{bmatrix} 2 & 1 \\ 0 & 3 \end{bmatrix}$ ?

Multiply every entry by $4$ : $\begin{bmatrix} 4(2) & 4(1) \\ 4(0) & 4(3) \end{bmatrix} = \begin{bmatrix} 8 & 4 \\ 0 & 12 \end{bmatrix}$ .

Mid-gameeasy

Which matrix equals $-3\begin{bmatrix} 2 & -1 \\ 3 & 0 \end{bmatrix}$ ?

Multiply each entry by $-3$ : $\begin{bmatrix} -3(2) & -3(-1) \\ -3(3) & -3(0) \end{bmatrix} = \begin{bmatrix} -6 & 3 \\ -9 & 0 \end{bmatrix}$ .

Mid-gameeasy

What is $5\begin{bmatrix} 0 & 2 \\ 1 & -1 \end{bmatrix}$ ?

Multiply every entry by $5$ : $\begin{bmatrix} 5(0) & 5(2) \\ 5(1) & 5(-1) \end{bmatrix} = \begin{bmatrix} 0 & 10 \\ 5 & -5 \end{bmatrix}$ .

Mid-gameeasy

Which matrix equals $-1\begin{bmatrix} 3 & 4 \\ -2 & 5 \end{bmatrix}$ ?

Multiply each entry by $-1$ : $\begin{bmatrix} -1(3) & -1(4) \\ -1(-2) & -1(5) \end{bmatrix} = \begin{bmatrix} -3 & -4 \\ 2 & -5 \end{bmatrix}$ .

Mid-gameeasy

What is $2\begin{bmatrix} -1 & 3 \\ 2 & 4 \end{bmatrix}$ ?

Multiply every entry by $2$ : $\begin{bmatrix} 2(-1) & 2(3) \\ 2(2) & 2(4) \end{bmatrix} = \begin{bmatrix} -2 & 6 \\ 4 & 8 \end{bmatrix}$ .

Mid-gameeasy

What is $3\begin{bmatrix} -2 & 1 \\ 0 & -3 \end{bmatrix}$ ?

Multiply every entry by $3$ : $\begin{bmatrix} 3(-2) & 3(1) \\ 3(0) & 3(-3) \end{bmatrix} = \begin{bmatrix} -6 & 3 \\ 0 & -9 \end{bmatrix}$ .

Mid-gamemedium

Which matrix equals $-4\begin{bmatrix} 1 & 0 \\ -3 & 2 \end{bmatrix}$ ?

Multiply each entry by $-4$ : $\begin{bmatrix} -4(1) & -4(0) \\ -4(-3) & -4(2) \end{bmatrix} = \begin{bmatrix} -4 & 0 \\ 12 & -8 \end{bmatrix}$ .

Buzzer beatermedium

Which matrix equals $-5\begin{bmatrix} 2 & -2 \\ 1 & 3 \end{bmatrix}$ ?

Multiply each entry by $-5$ : $\begin{bmatrix} -5(2) & -5(-2) \\ -5(1) & -5(3) \end{bmatrix} = \begin{bmatrix} -10 & 10 \\ -5 & -15 \end{bmatrix}$ .

Scalar times 2×2 matrix (ACT). Game on.