Simplify the Matrix [[-2,3],[2,4]]*[[0,1],[-9,2]]

$[\begin{array}{c} - 2 & 3 \\ 2 & 4 \end{array}] \cdot [\begin{array}{c} 0 & 1 \\ - 9 & 2 \end{array}]$

Step 1

Multiply each row in the first matrix by each column in the second matrix.

$[\begin{array}{c} - 2 \cdot 0 + 3 \cdot - 9 & - 2 \cdot 1 + 3 \cdot 2 \\ 2 \cdot 0 + 4 \cdot - 9 & 2 \cdot 1 + 4 \cdot 2 \end{array}]$

Step 2

Simplify each element of the matrix by multiplying out all the expressions.

$[\begin{array}{c} - 27 & 4 \\ - 36 & 10 \end{array}]$