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If A = [(1,3,2),(2,0,-1),(1,-1,0)], B = ...

If `A = [(1,3,2),(2,0,-1),(1,-1,0)], B = [(2,1,6),(-1,0,3),(4,2,-1)] and C = [(-3,6,1),(0,2,-1),(4,5,2)]`, verify that (A+B)+C=A+(B+C)

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If A = {:[(1,2,3),(-1,0,2),(1,-3,-1)], B = [(4,5,6),(-1,0,1),(2,1,2)] and C = [(-1,-2,1),(-1,2,3),(-1,-2,2)] , verify that: A+(B +C) = (A+B) + C

Let A = [(1,0),(2,3)], B = [(0,1,2),(3,2,1)] and C = [(1,0,4),(-2,1,0),(3,2,6)] . Verify that (AB) C = A (BC)

Taking A = [(2,1,0),(-3,-1,5)], B = [(0,2,3),(2,0,1),(1,-1,4)] and C = [(-1,0,2),(1,3,1),(2,-1,3)] verify that A (B+C) = AB + AC.

If A' = {:[(3,4),(-1,2),(0,1)] and B = [(-1,2,1),(1,2,3)] , then verify that (A-B)' = A' - B'

If A = [(-1,2,-3),(4,-5,6)] and B = [(3,-4),(2,1),(-1,0)] , verify that (BA)' = A'B'

If A= [(1,-1,1),(2,-1,0),(1,0,0)] and B = [(1,3,2),(1,1,1),(2,-3,-1)] , verify that (AB)^-1 = B^-1 A^-1

Let A = [(1,-2,0),(-1,3,5)], B = [(0,1,2),(2,0,1)] and C = [(2,-1,3),(0,1,4)] . Verify that (A+B) + C = A + (B+C)

If A = {:[(1,2,3),(-1,0,2),(1,-8,-1)], B = [(4,5,6),(-1,0,1),(2,1,2)], C = [(-1,-2,1),(-1,2,3),(-1,-2,2)] find A - 2B + 3C

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Given an example of three matrices A, B and C of the same type for whi...

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

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

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

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

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

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

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

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

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

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

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  14. Find x, y if 3[(4,2),(1,3)] - 2[(-2,1),(3,2)] + [(x , - 4),(3,y)] = 0

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  15. Find the vlaues of a,b,c and d if 3[(a,b),(c,d)] = [(a,6),(-1,2d)] + [...

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  16. Find non-zero values of 'x', satisfying the matrix equation: x{:[(2x...

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  17. If A = {:[(1,-3,2),(2,0,2)], B = [(2,-1,-1),(1,0,-1)], find the matrix...

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  18. If A = [(7,8),(1,9)] and B = [(7,12),(5,1)], find the matrix C such th...

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  19. Find the matrix 'X' and 'Y' if: 2X + 3Y = {:[(2,3),(4,0)] and 3X - 2Y ...

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  20. Find X and Y if X+Y=[(5,2),(0,9)] and X=Y=[(3,6),(0,-1)]

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