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Given A = [1423] and B = [-4-1-3-2] find a matrix C such that C + B = [0000] - Mathematics

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Question

Given A = `[(1, 4),(2, 3)]` and B = `[(-4, -1),(-3, -2)]` find a matrix C such that C + B = `[(0, 0),(0, 0)]`

Sum

Solution

A = `[(1, 4),(2, 3)]`

B = `[(-4, -1),(-3, -2)]`

C + B = `[(0, 0),(0, 0)]`

C = `[(0, 0),(0, 0)] - "B"`

= `[(0, 0),(0, 0)] - [(-4, -1),(-3, -2)]`

= `[(0 - (-4), 0 - (-1)),(0 - (-3), 0 - (-2))]`

= `[(4, 1),(3, 2)]`

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Chapter 8: Matrices - Exercise 8.2

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