Simplify the Matrix -2[[-3,2],[6,-9]]+[[1],[-5]]*[[-4,7]]

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

Multiply $- 2$ by each element of the matrix.

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

Simplify each element in the matrix.

Rearrange $- 2 \cdot - 3$ .

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

Rearrange $- 2 \cdot 2$ .

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

Rearrange $- 2 \cdot 6$ .

$[\begin{array}{c} 6 & - 4 \\ - 12 & - 2 \cdot - 9 \end{array}] + [\begin{array}{c} 1 \\ - 5 \end{array}] [\begin{array}{c} - 4 & 7 \end{array}]$

Rearrange $- 2 \cdot - 9$ .

$[\begin{array}{c} 6 & - 4 \\ - 12 & 18 \end{array}] + [\begin{array}{c} 1 \\ - 5 \end{array}] [\begin{array}{c} - 4 & 7 \end{array}]$

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

$[\begin{array}{c} 6 & - 4 \\ - 12 & 18 \end{array}] + [\begin{array}{c} 1 \cdot - 4 & 1 \cdot 7 \\ - 5 \cdot - 4 & - 5 \cdot 7 \end{array}]$

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

$[\begin{array}{c} 6 & - 4 \\ - 12 & 18 \end{array}] + [\begin{array}{c} - 4 & 7 \\ 20 & - 35 \end{array}]$

Add the corresponding elements.

$[\begin{array}{c} 6 - 4 & - 4 + 7 \\ - 12 + 20 & 18 - 35 \end{array}]$

Simplify each element of the matrix $[\begin{array}{c} 6 - 4 & - 4 + 7 \\ - 12 + 20 & 18 - 35 \end{array}]$ .

Simplify $6 - 4$ .

$[\begin{array}{c} 2 & - 4 + 7 \\ - 12 + 20 & 18 - 35 \end{array}]$

Simplify $- 4 + 7$ .

$[\begin{array}{c} 2 & 3 \\ - 12 + 20 & 18 - 35 \end{array}]$

Simplify $- 12 + 20$ .

$[\begin{array}{c} 2 & 3 \\ 8 & 18 - 35 \end{array}]$

Simplify $18 - 35$ .

$[\begin{array}{c} 2 & 3 \\ 8 & - 17 \end{array}]$

Simplify the Matrix -2[[-3,2],[6,-9]]+[[1],[-5]]*[[-4,7]]

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