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

(i) यदि `A = [(1,4,-1),(2,6,5)]` तथा `B = [(3,-2,-6),(2,0,-7)], A + B` तथा A - B निकाले ।
(ii) यदि `A = [(1,2,3),(2,3,1)]` तथा `B = [(3,-1,3),(-1,0,2)], 2A - B` निकाले ।
(iii) यदि `A = [(sqrt(3),1,-1),(2,3,0)]` तथा `B = [(2,sqrt(5),1),(-2,3,(1)/(2))], A + B` निकाले ।

लिखित उत्तर

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(i) `A + B = [(4,2,-7),(4,6,-2)], A - B = [(-2,6,5),(0,6,12)]`
(ii) `[(-1,5,3),(5,6,0)]`
(iii) `[(2+sqrt(3),1+sqrt(5),0),(0,6,(1)/(2))]`
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KC SINHA-आव्यूह-EXERCISE 5.1
  1. a, b, c, d निकाले यदि [(2a+b,a-2b),(5c-d,4c+3d)]=[(4,-3),(11,24)]

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  2. माना कि A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C=[(-2,5),(3,4)], निकाले | ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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