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Given M = `[(5, -3),(-2, 4)]` Find Its Transpose Matrix M^T. If Possible Find M + M^T - ICSE Class 10 - Mathematics

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Question

Given M = `[(5, -3),(-2, 4)]` Find its transpose matrix `M^t`. If possible find `M + M^t`

Solution

`M = [(5, -3),(-2, 4)]`

`M^t = [(5, -2),(-3, 4)]`

`M + M^t = [(5, -3),(-2, 4)] + [(5, -2),(-3, 4)] = [(5 + 5, -3-2),(-2-3, 4 + 4)] = [(10, -5),(-5, 8)]`

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Solution Given M = `[(5, -3),(-2, 4)]` Find Its Transpose Matrix M^T. If Possible Find M + M^T Concept: Introduction to Matrices.
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