Linear Algebra Examples

$[\begin{array}{c} 2 & - 1 \\ 4 & 5 \end{array}] [\begin{array}{c} 3 \\ 7 \end{array}]$

Step 1

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

$[\begin{array}{c} 2 \cdot 3 - 1 \cdot 7 \\ 4 \cdot 3 + 5 \cdot 7 \end{array}]$

Step 2

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

$[\begin{array}{c} - 1 \\ 47 \end{array}]$