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Question
If: `[(2, 1, 3)] [(-1, 0, -1),(-1, 1, 0),(0, 1, 1)] [(1),(0),(-1)]` = A, find A
Solution
We have, `[(2, 1, 3)]_(1 xx 3) [(-1, 0, -1),(-1, 1, 0),(0, 1, 1)]_(3 xx 3) [(1),(0),(-1)]_(3 xx 1)` = A
∴ `[(2, 1, 3)]_(1 xx 3) [(-1 + 0 + 1),(-1 + 0 + 0),(0 + 0 - 1)]_(3 xx 1)` = A
⇒ `[(2, 1, 3)]_(1 xx 3) [(0),(-1),(-1)]_(3 xx 1)`` = A
⇒ `[0 -1 -3]` = A
⇒ A = [– 4]
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