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Question
If A = `[(0, -1),(1, 2)]` and B = `[(1, 2),(-1, 1)]` Find the matrix X if : 3A + X = B
Solution
A = `[(0, -1),(1, 2)]`
B = `[(1, 2),(-1, 1)]`
3A + X = B
⇒ X = B – 3A
X = `[(1, 2),(-1, 1)] -3[(0, -1),(1, 2)]`
= `[(1, 2),(-1, 1)] - [(0, -3),(3, 6)]`
= `[(1 - 0, 2 + 3),(-1 -3, 1 - 6)]`
= `[(1, 5),(-4, -5)]`.
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