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Given a = `[(1,1),(-2, 0)]` and `B = [(2, -1),(1, 1)]` Solve for Matrix X: 3a - 2x = X - 2b - ICSE Class 10 - Mathematics

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Question

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

3A - 2X = X - 2B

Solution

3A - 2X = X - 2B

3A + 2B = X + 2X

3X = 3A + 2B

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

`3X = [(7, 1),(-4, 2)]`

`X = [(7/3, 1/3),(-4/3, 2/3)]`

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Solution Given a = `[(1,1),(-2, 0)]` and `B = [(2, -1),(1, 1)]` Solve for Matrix X: 3a - 2x = X - 2b Concept: Addition and Subtraction of Matrices.
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