Simplify the Matrix [[1,0,4],[-2,5,1]][[2,0],[2,5],[2,3]]

$[\begin{array}{c} 1 & 0 & 4 \\ - 2 & 5 & 1 \end{array}] [\begin{array}{c} 2 & 0 \\ 2 & 5 \\ 2 & 3 \end{array}]$

Step 1

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

$[\begin{array}{c} 1 \cdot 2 + 0 \cdot 2 + 4 \cdot 2 & 1 \cdot 0 + 0 \cdot 5 + 4 \cdot 3 \\ - 2 \cdot 2 + 5 \cdot 2 + 1 \cdot 2 & - 2 \cdot 0 + 5 \cdot 5 + 1 \cdot 3 \end{array}]$

Step 2

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

$[\begin{array}{c} 10 & 12 \\ 8 & 28 \end{array}]$

Simplify the Matrix [[1,0,4],[-2,5,1]][[2,0],[2,5],[2,3]]

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