Exercises: Multiply Matrices by Scalars

Work through each section in order. Show your work where indicated.

Grade 9·18 problems·~25 min·Common Core Math - HS Number and Quantity·standard·hsn-vm-c-7

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Recall / Warm-Up

A payoff matrix for a game is $P = \begin{bmatrix} 4 & -2 \\ 1 & 3 \end{bmatrix}$ . If all payoffs are doubled, the new payoff matrix is:

$\begin{bmatrix} 4 & -2 \\ 1 & 3 \end{bmatrix} + 2$

$\begin{bmatrix} 6 & 0 \\ 3 & 5 \end{bmatrix}$

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

$\begin{bmatrix} 16 & 4 \\ 4 & 9 \end{bmatrix}$