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Let A = [(1, -1, 2),(2, 1, 0)], B = [(0, 1, -1),(1, 2, 3)], C = [(-1, 2, 3),(0, 0, 1)] Find the following: A − (B − С) - Mathematics

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Question

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

Find the following:

A − (B − С)

Sum
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Solution

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

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

Subtract A from (B − С)

A − (B − С) = `[(1, -1, 2),(2, 1, 0)] - [(1, -1, -4),(1, 2, 2)]`

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

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

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Chapter 8: Matrices - Exercise 8B [Page 155]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 8 Matrices
Exercise 8B | Q 6. (vii) | Page 155
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