Question

find the product of the following two matrices.
row 1 $
ightarrow \begin{bmatrix} 0 & 2 & -1 & 0 end{bmatrix}$ $\begin{bmatrix} 0 & -5 & -5 \\ 0 & 0 & 1 \\ 5 & -1 & 1 \\ -1 & 1 & 0 end{bmatrix}$
$(0)(0)+(2)(0)+(-1)(5)+(0)(-1)$
row 1 $
ightarrow \begin{bmatrix} square & square & square end{bmatrix}$
try

Explanation:

Step1: Calculate first column entry

$(0)(0) + (2)(0) + (-1)(5) + (0)(-1) = 0 + 0 -5 + 0$

Step2: Calculate second column entry

$(0)(-5) + (2)(0) + (-1)(-1) + (0)(1) = 0 + 0 +1 + 0$

Step3: Calculate third column entry

$(0)(-5) + (2)(1) + (-1)(1) + (0)(0) = 0 + 2 -1 + 0$

Answer:

$$\begin{bmatrix} -5 & 1 & 1 \end{bmatrix}$$