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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

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

= `[(1, 0, 1),(3, 3, 3)]`

Add C to (A + B)

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

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

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

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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. (iii) | Page 155
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