Sum
If A = `[(1, 2, -3),(-3, 7, -8),(0, -6, 1)], "B" = [(9, -1, 2),(-4, 2, 5),(4, 0, -3)]` then find the matrix C such that A + B + C is a zero matrix
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Solution
A + B + C = 0
∴ C = – A – B
= `-[(1, 2, -3),(-3, 7, -8),(0, -6, 1)] - [(9, -1, 2),(-4, 2, 5),(4, 0, -3)]`
= `[(-1, -2, 3),(3, -7, 8),(0, 6, -1)] - [(9, -1, 2),(-4, 2, 5),(4, 0, -3)]`
= `[(-1 - 9, -2 - 1(-1), 3 - 2),(3 - (- 4), -7 - 2, 8 - 5),(0 - 4, 6 - 0, -1 - (-3))]`
= `[(-10, -1, 1),(7, -9, 3),(-4, 6, 2)]`
Concept: Algebra of Matrices
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