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यदि A = [(cos theta,sin theta),(sin thet...

यदि `A = [(cos theta,sin theta),(sin theta,cos theta)], B = [(cos phi,sin phi),(sin phi,cos phi)],` साबित करे कि AB = BA.

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KC SINHA-आव्यूह-EXERCISE 5.2
  1. निम्नलिखित ज्ञात करे । (i) [(0,2),(0,3)][(4,6),(0,0)] (ii) [(1,3),...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. 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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  17. 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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  18. दिखाएँ कि ([(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega...

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  19. 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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  20. (i) x निकाले यदि [(x,1)][(1,0),(-2,-3)][(x),(3)]=O (ii) [(2x,3)][(1,...

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