Simplify the Matrix [[4,2,3]]*[[-1,4],[0,2],[5,6]]+[[8,-5]]

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

Step 1

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

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

Step 2

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

$[\begin{array}{c} 11 & 38 \end{array}] + [\begin{array}{c} 8 & - 5 \end{array}]$

Step 3

Add the corresponding elements.

$[\begin{array}{c} 11 + 8 & 38 - 5 \end{array}]$

Step 4

Simplify each element of the matrix $[\begin{array}{c} 11 + 8 & 38 - 5 \end{array}]$ .

Simplify $11 + 8$ .

$[\begin{array}{c} 19 & 38 - 5 \end{array}]$

Simplify $38 - 5$ .

$[\begin{array}{c} 19 & 33 \end{array}]$