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Compute the indicated product: [234345456][1-35024305] - Mathematics

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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

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 5: Algebra of Matrices - Exercise 5.3 [पृष्ठ ४१]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 5 Algebra of Matrices
Exercise 5.3 | Q 1.3 | पृष्ठ ४१

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