Maharashtra State BoardHSC Science (General) 11th
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If A = [12-3-37-80-61],B=[9-12-42540-3] then find the matrix C such that A + B + C is a zero matrix - Mathematics and Statistics

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)]`

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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 4 Determinants and Matrices
Exercise 4.5 | Q 3 | Page 87
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