Simplify the Matrix [[-5,1],[-4,-5]]*([[5,-4,2],[-6,3,-6]]+[[3,-5,2],[5,5,3]])

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

Step 1

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

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

Step 2

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

Step 3

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.

$[\begin{array}{c} - 31 & 23 & - 16 \\ 10 & 1 & 22 \end{array}] [\begin{array}{c} - 5 & 1 \\ - 4 & - 5 \end{array}] ([\begin{array}{c} 5 & - 4 & 2 \\ - 6 & 3 & - 6 \end{array}] + [\begin{array}{c} 3 & - 5 & 2 \\ 5 & 5 & 3 \end{array}]) ([\begin{array}{c} 5 & - 4 & 2 \\ - 6 & 3 & - 6 \end{array}] + [\begin{array}{c} 3 & - 5 & 2 \\ 5 & 5 & 3 \end{array}])$

Simplify the Matrix [[-5,1],[-4,-5]]*([[5,-4,2],[-6,3,-6]]+[[3,-5,2],[5,5,3]])

Related Questions

Support LCMGCF.com by disabling your adblocker.