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Compute the Indicated Products [(2,3,4),(3,4,5),(4,5,6)][(1,-3,5),(0,2,4), (3,0,5)] - Mathematics

Compute the indicated products

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

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Solution

`[(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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APPEARS IN

NCERT Class 12 Maths
Chapter 3 Matrices
Q 3.4 | Page 80
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