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निम्नलिखित का परिकलन करे । (i) [(0,1,5...

निम्नलिखित का परिकलन करे ।
(i) `[(0,1,5),(-3,2,1)]+[(6,2,-3),(-1,4,2)]`
(ii) `[(2,-1),(3,5)]+[(4,3),(1,-2)]`
(iii) `[(a,b),(-b,a)]+[(a,b),(b,a)]`
(iv) `[(cos^(2)x,sin^(2)x),(sin^(2)x,cos^(2)x)]+[(sin^(2)x,cos^(2)x),(cos^(2)x,sin^(2)x)]`
(v) `[(a^(2)+b^(2),b^(2)+c^(2)),(a^(2)+c^(2),a^(2)+b^(2))]+[(2ab,2bc),(-2ac,-2ab)]`
(vi) `[(-1,4,-6),(8,5,16),(2,8,5)]+[(12,7,6),(8,0,5),(3,2,4)]`
(vii) `[(2,3,1),(5,-1,2),(0,3,5)]+[(1,-2,3),(-3,1,5),(6,2,0)]`

लिखित उत्तर

Verified by Experts

(i) `[(6,3,2),(-4,6,3)]`
(ii) `[(6,2),(4,3)]`
(iii) `[(2a,2b),(0,2a)]`
(iv) `[(1,1),(1,1)]`
(v) `[((a+b)^(2),(b+c)^(2)),((a-c)^(2),(a-b)^(2))]`
(vi) `[(11,11,0),(16,5,21),(5,10,9)]`
(vii) `[(3,1,4),(2,0,7),(6,5,5)]`
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KC SINHA-आव्यूह-EXERCISE 5.1
  1. माना कि A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C=[(-2,5),(3,4)], निकाले | ...

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  2. (i) यदि A = [(1,4,-1),(2,6,5)] तथा B = [(3,-2,-6),(2,0,-7)], A + B तथा...

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  3. निम्नलिखित का परिकलन करे । (i) [(0,1,5),(-3,2,1)]+[(6,2,-3),(-1,4,2)...

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  4. यदि A = [(1,-2,3),(4,5,-1),(5,0,2)], 3A निकाले ।

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  5. यदि A = [(2,-1),(4,2)], B = [(4,3),(-2,1)], C = [(-2,-3),(-1,2)], निम्...

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  6. यदि A = [(1,2,3),(-1,0,2),(1,-3,-1)], B = [(4,5,6),(-1,0,1),(2,1,2)] त...

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  7. निकाले [(sin^(2)theta,1),(cot^(2)theta,0)]+[(cos^(2)theta,0),(-"cosec"...

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  8. (i) निम्नलिखित समीकरण से x और y निकाले । 2[(x,5),(7,y-3)]+[(3,4),(1,...

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  9. निम्नलिखित समीकरण को संतुष्ट करने वाले x, y, z तथा t का मान निकाले । ...

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  10. यदि A = विकर्ण [(1,3,2)]B = विकर्ण [(0,2,5)]C = विकर्ण [(3,-2,5)] तो ...

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  11. आव्यूह X निकाले यदि X + [(2,5),(3,2)]=[(4,0),(-7,6)]

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  12. आव्यूह X निकाले ताकि 2A + B + X = 0. जहाँ A = [(-1,2),(3,4)] तथा B = [...

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  13. आव्यूह X निकाले ताकि A + 2B + X = O, जहाँ A = [(2,-1),(3,5)], B = [(-1...

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  14. आव्यूह X तथा Y निकाले यदि X + Y = [(5,2),(0,9)] तथा X - Y = [(3,6),(0,...

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  15. दिखाएँ कि cos theta [(cos theta,sin theta),(-sin theta,cos theta)]+sin...

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  16. यदि 2X + 3Y = [(2,3),(4,0)] तथा 3X + 2Y = [(-2,2),(1,-5)]X तथा Y निकाल...

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  17. दिया है, A = [(1,2,-3),(5,0,2),(1,-1,1)] तथा B = [(3,-1,2),(4,2,5),(2,...

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

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  19. यदि A = [(2,3,-4),(1,0,6),(-2,1,5)], B = [(5,1,2),(6,-1,4),(5,3,-4)] 2...

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

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