Linear Algebra Examples

$[\begin{array}{c} 0.95 & 0.04 \\ 0.05 & 0.96 \end{array}] [\begin{array}{c} 10650000 \\ 650000 \end{array}]$

Step 1

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

$[\begin{array}{c} 0.95 \cdot 10650000 + 0.04 \cdot 650000 \\ 0.05 \cdot 10650000 + 0.96 \cdot 650000 \end{array}]$

Step 2

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

$[\begin{array}{c} 10143500 \\ 1156500 \end{array}]$