हिंदी

If A = andBC[1234]andB=[2142],C=[5174], compute A(B + C) - Mathematics

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प्रश्न

If A = `[(1, 2),(3, 4)] and "B" = [(2, 1),(4, 2)], "C" = [(5, 1),(7, 4)]`, compute A(B + C)

योग

उत्तर

A(B + C)

A = `[(1, 2),(3, 4)]`

B = `[(2, 1),(4, 2)]`

C = `[(5, 1),(7, 4)]`

A(B + c) = `[(1, 2),(3, 4)] [(2, 1),(4, 2)] + [(5, 1),(7, 4)]`

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

= `[(1, 2),(3, 4)][(7, 2),(11, 6)]`

= `[(7 + 22, 2 + 12),(21 + 44, 6 + 24)]`

= `[(29, 14),(65, 30)]`.

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अध्याय 8: Matrices - Exercise 8.3

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