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Question
If A = `[(0, -1),(1, 2)]` and B = `[(1, 2),(-1, 1)]` Find the matrix X if : X – 3B = 2A
Solution
A = `[(0, -1),(1, 2)]`
B = `[(1, 2),(-1, 1)]`
X – 3B = 2A
⇒ x = 2A + 3B
X = `2[(0, -1),(1, 2)] + 3[(1, 2),(-1, 1)]`
= `[(0, -2),(2, 4)] + [(3, 6),(-3, 3)]`
= `[(0 + 3, -2 + 6),(2 - 3, 4 + 3)]`
= `[(3, 4),(-1, 7)]`.
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