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

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)`

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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)

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If A = [(5,1,1),(2,3,0)], B = [(2,3),(-1,1),(4,0)] , verify that (AB)' = B'A'.

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

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If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : A(B+C) = AB+AC

If A = [{:(1,2),(-2,3):}], B= [{:(2,1),(2,3):}] and C = [{:(-3,1),(2,0):}] ,verify that (AB)C = A(BC) and A(B+C)=AB+AC.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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