Evaluate the product AB, where A = [(1,-1,0),(2,3,4),(0,1,2)] and B = [(2,2,-4),(-4,2,-4),(2,-1,5)] Hence solve the system of linear equation

Question

Evaluate the product AB, where

A = \(\begin{bmatrix} 1&-1&0\\2&3&4\\0&1&2 \end{bmatrix}\) and B = \(\begin{bmatrix} 2&2&-4\\-4&2&-4\\2&-1&5 \end{bmatrix}\)

Hence solve the system of linear equation

x - y = 3

2x + 3y + 4z = 17

y + 2z = 7

Answer 1

The given equations can be written as