find the product.\n$\begin{bmatrix}-2&6\\-4&3end{bmatrix}\begin{bmatrix}-2&-2\\-1&-1end{bmatrix}$

Explanation:

Step1: Calculate first - row first - column element

Multiply first row of first matrix by first column of second matrix. $(-2)\times(-2)+6\times(-1)=4 - 6=-2$

Step2: Calculate first - row second - column element

Multiply first row of first matrix by second column of second matrix. $(-2)\times(-2)+6\times(-1)=4 - 6=-2$

Step3: Calculate second - row first - column element

Multiply second row of first matrix by first column of second matrix. $(-4)\times(-2)+3\times(-1)=8 - 3 = 5$

Step4: Calculate second - row second - column element

Multiply second row of first matrix by second column of second matrix. $(-4)\times(-2)+3\times(-1)=8 - 3 = 5$

Answer:

$\begin{bmatrix}-2&-2\5&5\end{bmatrix}$