Math Problem Statement
Find the following matrices where A = [[-2, 5], [2, 7], [2, -9]] and B = [[-2, -6], [7, 9], [-1, -4]], and solve for 8A - 6B.
Solution
To solve for 8A−6B, first find 8A and 6B, then perform the subtraction.
Given:
A=−22257−9
B=−27−1−69−4
Calculate 8A:
8A=8×−22257−9=8×−28×28×28×58×78×−9=−1616164056−72
Calculate 6B:
6B=6×−27−1−69−4=6×−26×76×−16×−66×96×−4=−1242−6−3654−24
Subtract 6B from 8A:
8A−6B=−1616164056−72−−1242−6−3654−24=−16+1216−4216+640+3656−54−72+24=−4−2622762−48
So, 8A−6B=−4−2622762−48.