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(i) यदि A = [(2,3,5)] तथा B = [(1),(2),(...

(i) यदि `A = [(2,3,5)]` तथा `B = [(1),(2),(3)]`, AB निकाले ।
(ii) यदि `A = [(2,1,3),(4,1,0)]` तथा `B = [(1,-1),(0,2),(5,0)]` AB और BA निकाले ।

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(i) `[23]`
(ii) `AB = [(17,0),(4,-2)],BA = [(-2,0,3),(8,2,0),(10,5,15)]`
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KC SINHA-आव्यूह-EXERCISE 5.2
  1. (i) यदि A = [(2,3,5)] तथा B = [(1),(2),(3)], AB निकाले । (ii) यदि A ...

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  2. निम्नलिखित ज्ञात करे । (i) [(0,2),(0,3)][(4,6),(0,0)] (ii) [(1,3),...

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  3. यदि A = [(2,9),(4,3)] तथा B = [(1,5),(7,2)], AB - BA निकाले ।

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  4. यदि A = [(cos theta,sin theta),(sin theta,cos theta)], B = [(cos phi,s...

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  5. (i) यदि A = [(1,2),(5,7)] तथा B = [(2,0),(3,-4)] साबित करे कि AB = BA....

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  6. निम्नलिखित ज्ञात करे । (i) {[(1,3),(-1,-4)]+[(3,-2),(-1,1)]}[(1,3,5)...

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  7. (i) यदि P(x) = [(cos x,sin x),(-sin x,cos x)], तो साबित करे कि P(x).P(...

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  8. यदि A = [(2,3),(-1,5)],B = [(3,-1),(4,7)] तथा C = [(5,-1),(0,3)], दिखा...

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  9. यदि A = [(2,3),(4,5)],B=[(3,4),(7,2)],C=[(1,0),(0,7)], तो सत्यापित करे...

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  10. यदि A = [(1,2,3),(2,0,-2)],B=[(1,1,-1),(2,0,3),(3,-1,2)] तथा C = [(1,3...

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  11. दिखाएँ कि [(1,1),(0,1)]^(3)=[(1,3),(0,1)]

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  12. यदि A = [(cso 2 theta,sin 2 theta),(-sin 2 theta,cos 2 theta)], A^(2) ...

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  13. यदि A = [(0.8,0.6),(-0.6,8.0)] निकाले A^(3).

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  14. साबित करे कि दो आव्यूह [(cos^(2)theta,cos theta.sin theta),(cos theta....

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  15. निम्नलिखित दो आव्यूहों का गुणनफल निकाले । [(0,c,-b),(-c,0,a),(b,-a,0)]...

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  16. यदि A=[(1,0,0),(0,1,0),(a,b,-1)]A^(2) निकाले ।

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  17. यदि A=[(-1,1,-1),(3,-3,3),(5,-5,5)],B = [(0,4,3),(1,-3,-3),(-1,4,4)] A...

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  18. यदि A = [(2,3,4),(1,2,3),(-1,1,2)],B=[(1,3,0),(-1,2,1),(0,0,2)],AB तथा...

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  19. दिखाएँ कि ([(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega...

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  20. यदि A=[(1,0,-2),(3,-1,0),(-2,1,1)],B=[(0,5,-4),(-2,1,3),(-1,0,2)], तथा...

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