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If A = [20-31] and B = [01-23] find 2A – 3B - Mathematics

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Question

If A = `[(2, 0),(-3, 1)]` and B = `[(0, 1),(-2, 3)]` find 2A – 3B

Sum

Solution

A = `[(2, 0),(-3, 1)]`

B = `[(0, 1),(-2, 3)]`

∴ 2A – 3B = 2`[(2, 0),(-3, 1)] -3[(0, 1),(-2, 3)]`

= `[(4, 0),(-6, 2)] -[(0, 3),(-6, 9)]`

= `[(4 - 0, 0 - 3),(-6 + 6, 2 - 9)]`

= `[(4, -3),(0, -7)]`.

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Chapter 8: Matrices - Exercise 8.2

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