हिंदी

Compute the indicated product. [(2, 3, 4),(3, 4, 5),(4, 5, 6)][(1, –3, 5),(0, 2, 4),(3, 0, 5)]

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प्रश्न

Compute the indicated product.

`[(2, 3, 4),(3, 4, 5),(4, 5, 6)][(1, -3, 5),(0, 2, 4),(3, 0, 5)]`

योग
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उत्तर

`[(2, 3, 4),(3, 4, 5),(4, 5, 6)][(1, -3, 5),(0, 2, 4),(3, 0, 5)]`

= `[(2(1) + 3(0) + 4(3), 2(-3) + 3(2) + 4(0), 2(5) + 3(4) + 4(5)), (3(1) + 4(0) + 5(3), 3(-3) + 4(2) + 5(0), 3(5) + 4(4) + 5(5)), (4(1) + 5(0) + 6(3), 4(-3) + 5(2) + 6(0), 4(5) + 5(4) + 6(5))]`

= `[(2 + 0 + 12, -6 + 6 + 0, 10 + 12 + 20), (3 + 0 + 15, -9 + 8 + 0, 15 + 16 + 25), (4 + 0 + 18, -12 + 10 + 0, 20 + 20 + 30)]`

= `[(14, 0, 42),(18, -1, 56),(22, -2, 70)]`

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अध्याय 3: Matrices - EXERCISE 3.2 [पृष्ठ ५८]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 3 Matrices
EXERCISE 3.2 | Q 3. (iv) | पृष्ठ ५८
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