English

If A = [(2/3, 1, 5/3),(1/3, 2/3, 4/3),(7/3, 2, 2/3)] and B = [(2/5, 3/5, 1),(1/5, 2/5, 4/5),(7/5, 6/5, 2/5)], then compute 3A – 5B.

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Question

If ` A = [(2/3, 1, 5/3),(1/3, 2/3, 4/3),(7/3, 2, 2/3)]` and `B = [(2/5, 3/5, 1),(1/5, 2/5, 4/5),(7/5, 6/5, 2/5)]`, then compute 3A – 5B.

Sum
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Solution

`3A - 5B = 3[(2/3, 1, 5/3),(1/3, 2/3, 4/3),(7/3, 2,2/3)] - 5[(2/5, 3/5,1),(1/5, 2/5, 4/5),(7/5, 6/5, 2/5)]`

= `[(2, 3, 5),(1, 2, 4),(7, 6, 2)] - [(2, 3, 5),(1, 2, 4),(7, 6, 2)]`

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

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Chapter 3: Matrices - EXERCISE 3.2 [Page 59]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 3 Matrices
EXERCISE 3.2 | Q 5. | Page 59
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