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If [(a, 3a-b), (2a + c, 3b -d)] = [ (3,2...

If `[(a, 3a-b), (2a + c, 3b -d)] = [ (3,2), (4,7)]`, find a, b, c and d.

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Construct a 3 xx 5 matrix B = [b(ij)] such that b(ij) = = i/j

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  2. If [(x-y, z),(2x-y, w)] = [(-1,4),(0,5)], find x , y , z and w.

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  3. If [(a, 3a-b), (2a + c, 3b -d)] = [ (3,2), (4,7)], find a, b, c and d.

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  4. If [(a+b, 2), (5, ab)]= [(6,2),(5,8)], find the values of a and b.

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  5. Find the values of x,y,z and w from the following equation :[(x-y,2x+z...

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  6. If [(a+4, 3b),(8 , -6)] = [(2a+2, b^2 +2), (8, b^2 - 5b)], find the va...

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  7. Find x,y, a and b if [(2x+3y , a+b, 8),(1, 4x + y , 3a-4b)] = [(7,1,8)...

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  8. Given an example of three matrices A, B and C of the same type for whi...

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  9. Let A = [(1,-2,0),(-1,3,5)], B = [(0,1,2),(2,0,1)] and C = [(2,-1,3),(...

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  10. If A = [(1,3,2),(2,0,-1),(1,-1,0)], B = [(2,1,6),(-1,0,3),(4,2,-1)] an...

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  11. Let A = [(2,4),(3,2)], B = [(1,3),(-2,5)], C = [(-2,5),(3,4)] Find eac...

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  12. Let A = [(2,4),(3,2)], B = [(1,3),(-2,5)], C = [(-2,5),(3,4)] Find eac...

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  13. Evaluate the following: |(a,b),(-b,a)|

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  14. Evaluate the following: [(1+i, 0), (2,2-3i)] - [(i, -1),(3+i , 2 i)]

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  15. Compute the following: : [[a^2+b^2,b^2+c^2],[a^2+c^2,a^2+b^2]] + [[2ab...

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  16. If A = [(5,3),(4,2)], B = [(1,1),(-1,2)], C = [(-3,2),(-7,5)] find 2 A...

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  17. If A = [(3,8,0),(1,6,7),(0,2,-5)] and B = [(-1, 6 ,9),(3,0,4),(2,3,11)...

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  18. If A is any matrix and k any scalar, then prove that (-k) A = -(kA) = ...

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  19. If A and B are matrices of the same order, then prove that -(A + B) = ...

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  20. Find x and y if 2[(1,3),(0,x)] + [(y,0),(1,2)] = [(5,6),(1,8)]

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