Simplify the Matrix [[4,0,7]][[3],[4],[6]]

$[\begin{array}{c} 4 & 0 & 7 \end{array}] [\begin{array}{c} 3 \\ 4 \\ 6 \end{array}]$

Step 1

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

$[\begin{array}{c} 4 \cdot 3 + 0 \cdot 4 + 7 \cdot 6 \end{array}]$

Step 2

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

$[\begin{array}{c} 54 \end{array}]$