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Given A=[11-20] and B=[2-111]. Solve for matrix X: X + 2A = B - Mathematics

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Question

Given `A = [(1, 1),(-2, 0)]` and `B = [(2, -1),(1, 1)]`. Solve for matrix X:

X + 2A = B

Sum

Solution

X + 2A = B

X = B – 2A

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

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

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

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

`X = [(0, -3),(5, 1)]`

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Chapter 9: Matrices - Exercise 9 (B) [Page 122]

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Selina Mathematics [English] Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (B) | Q 8.1 | Page 122

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