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निम्नलिखित समीकरणों से x, y, z निकाले ।
(i) `[(x+y,2),(5+z,xy)]=[(6,2),(5,8)]`
(ii) `[(4,3),(x,5)]=[(y,z),(1,5)]`
(iii) `[(x+y+z),(x+z),(y+z)]=[(9),(5),(7)]`

लिखित उत्तर

Verified by Experts

(i) `{:(x=2,y=4,z=0),(x=4,y=2,z=0):}}`
(ii) x = 1, y = 4, z = 3
(iii) x = 2, y = 4, z = 3
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KC SINHA-आव्यूह-EXERCISE 5.1
  1. (i) यदि [(x+y,2),(1,x-y)]=[(3,2),(1,7)],तो x = ....., y = ....... (i...

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  2. (i) यदि [(x-y,2x+z),(2x-y,3z+omega)]=[(-1,5),(0,13)], x, y, z, omega न...

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  3. निम्नलिखित समीकरणों से x, y, z निकाले । (i) [(x+y,2),(5+z,xy)]=[(6,2...

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  4. a, b, c, d निकाले यदि [(2a+b,a-2b),(5c-d,4c+3d)]=[(4,-3),(11,24)]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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