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If I is the unit matrix of order 2 × 2; find the matrix M, such that M-2I=3[-1041] - Mathematics

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Question

If I is the unit matrix of order 2 × 2; find the matrix M, such that `M - 2I = 3[(-1, 0),(4, 1)]`

Sum

Solution

`M - 2I = 3[(-1, 0),(4, 1)]`

`M = 3[(-1, 0),(4, 1)] + 2I`

`M = 3[(-1, 0),(4, 1)] + 2[(1, 0),(0, 1)]`

`M = [(-3, 0),(12, 3)] + [(2, 0),(0, 2)]`

`M = [(-1, 0),(12, 5)]`

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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 10.1 | Page 122

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