Simplify the Matrix [[-4],[-3],[7]]([[-4,6]]+[[9,2]])

$[\begin{array}{c} - 4 \\ - 3 \\ 7 \end{array}] ([\begin{array}{c} - 4 & 6 \end{array}] + [\begin{array}{c} 9 & 2 \end{array}])$

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

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

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

$[\begin{array}{c} 16 & - 24 \\ 12 & - 18 \\ - 28 & 42 \end{array}] [\begin{array}{c} - 4 \\ - 3 \\ 7 \end{array}] ([\begin{array}{c} - 4 & 6 \end{array}] + [\begin{array}{c} 9 & 2 \end{array}])$

Matrices can only be multiplied if the number of columns in the first matrix is equal to the number of rows in the second matrix. The matrices cannot be multiplied.

$[\begin{array}{c} 16 & - 24 \\ 12 & - 18 \\ - 28 & 42 \end{array}] [\begin{array}{c} - 4 \\ - 3 \\ 7 \end{array}] ([\begin{array}{c} - 4 & 6 \end{array}] + [\begin{array}{c} 9 & 2 \end{array}]) ([\begin{array}{c} - 4 & 6 \end{array}] + [\begin{array}{c} 9 & 2 \end{array}])$

Simplify the Matrix [[-4],[-3],[7]]([[-4,6]]+[[9,2]])

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