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

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

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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 2B - 3C

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

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)

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'

A' = [(-3,1),(2,1),(0,-2)] and B = [(1,2,-3),(2,3,-1)] Verify that (A + B)' = A' + B'

A' = [(-3,1),(2,1),(0,-2)] and B = [(1,2,-3),(2,3,-1)] Verify that (A - B)' = 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

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

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)

MODERN PUBLICATION-MATRICES-EXERCISE
  1. Given X = {:[(2,0,-2),(1,0,-2)] and Y = [(3,-1,0),(-2,0,-1)], find Z s...

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  2. Verify associative law of matrx addition for the matrices: A = {:[(1...

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  3. If A = {:[(1,2,3),(-1,0,2),(1,-3,-1)], B = [(4,5,6),(-1,0,1),(2,1,2)] ...

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  4. If A and B are two mxxn matrices and O is the null matrix of the type ...

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  5. Find the values of x,y,z and t, if: {:2[(x,z),(y,t)] + 3 [(1,-1),(0,...

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  6. If {:x[(2),(3)] + y [(-1,1)] = [(12),(6)], write the value. Of 'x'.

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  7. If {:2[(3,4),(5,x)] + [(1,y ),(0,1)] = [(7,0),(10,5)], find (x-y).

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  8. Find the vale of (x+y) from the following equation: {:2[(x,5),(7,y-3...

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  9. If A = {:[(4,2,7),(2,1,7)] and B = [(2,1,5),(3,4,6)] find 2A-B.

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  10. If A = {:[(8,0),(4,-2),(3,-6)] and B = [(2,-2),(4,2),(-5,1)], then fin...

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  11. If A = diag. [3,-5,7]^* and B - diag. [-1,2,4], then find (2A + 3B).

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  12. If A = [(2,7),(9,8)] and B = [(1,2),(0,3)], then find: (A-B).

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  13. If A = [(2,3),(-1,4)], find 2A

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  14. If A = [(2,3),(-1,4)], find -3A

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  15. Find 'x' and 'y' if 2{:[(x,5),(3,y)] = [(4,10),(6,6)]

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  16. If A = {:[(4,2,3),(1,5,7)] and B = [(1,3,7),(0,4,1)], find 2A + B.

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  17. If A = {:[(2,-1),(4,2)] and B = [(2,3),(1,2)], find 2A + 3B.

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  18. If A = {:[(1,2,3),(2,3,1)] and B = [(3,-1,3),(-1,0,2)], then find 2A +...

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  19. Find the value of (y-x) from the following equation : 2{:[(x,5),(7,y...

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  20. Find the value of (x+y) from the following equation: 2{:[(1,3),(0,x)...

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