Simplify the Matrix [[1],[3],[5]][[1,2,7],[6,8,0]][[5,9,7]][[-1,2,3],[8,-4,0],[6,7,1]]

$[\begin{array}{c} 1 \\ 3 \\ 5 \end{array}] [\begin{array}{c} 1 & 2 & 7 \\ 6 & 8 & 0 \end{array}] [\begin{array}{c} 5 & 9 & 7 \end{array}] [\begin{array}{c} - 1 & 2 & 3 \\ 8 & - 4 & 0 \\ 6 & 7 & 1 \end{array}]$

Step 1

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

$[\begin{array}{c} 5 \cdot 1 + 9 \cdot 3 + 7 \cdot 5 \end{array}] [\begin{array}{c} 1 & 2 & 7 \\ 6 & 8 & 0 \end{array}] [\begin{array}{c} - 1 & 2 & 3 \\ 8 & - 4 & 0 \\ 6 & 7 & 1 \end{array}]$

Step 2

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

$[\begin{array}{c} 67 \end{array}] [\begin{array}{c} 1 & 2 & 7 \\ 6 & 8 & 0 \end{array}] [\begin{array}{c} - 1 & 2 & 3 \\ 8 & - 4 & 0 \\ 6 & 7 & 1 \end{array}]$

Simplify the Matrix [[1],[3],[5]][[1,2,7],[6,8,0]][[5,9,7]][[-1,2,3],[8,-4,0],[6,7,1]]

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