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If A = {:[(1,2,3),(-1,0,2),(1,-8,-1)], B...

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

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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 A - 2B + 3C

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

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)

If A = [(1,3,4),(2,0,1),(-3,2,3)], B = [(0,2,-1),(5,7,2),(-1,0,3)] and C = [(2,-1,3),(6,8,5),(0,1,4)] find 4A - 2 B + 3 C.

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

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

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.

MODERN PUBLICATION-MATRICES-EXERCISE
  1. Check whether A - A^T is symmetric matrix, where A^T denotes the tranp...

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  2. Express the matrix A as sum of symmetric and skew symmetric matrix ...

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

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  4. If A = [[cos alpha,sin alpha],[-sin alpha,cos alpha]] , then verify th...

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  5. If A = [[sin alpha,cos alpha],[-cos alpha,sin alpha]], then verify tha...

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  6. Show that (AB)' = B'A' A = {:[(-1,3,0),(-7,2,8)], B = [(-5,0),(0,3),...

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  7. Show that (AB)' = B'A' A = {:[(3,4),(4,5)], B = [(5,3),(2,1)].

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

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

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  10. If A = {:[(5,-1),(6,7)], B = [(2,1),(3,4)], C = [(1,3),(-1,4)] verify ...

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  11. If A = {:[(5,-1),(6,7)], B = [(2,1),(3,4)], C = [(1,3),(-1,4)] verify ...

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  12. If A and B are symmetric matrices, prove that AB – BA is a skew symmet...

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  13. For a matrix A=[(3,2),(5,3)],Verify that : A + A' is a Symmetric Mat...

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  14. Verify that : A - A' is a Skew - symmetric Matrix. When : A = {:[(...

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  15. Verify that : A - A' is a Skew - symmetric Matrix. When : A = {:[(...

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  16. Verify that : A - A' is a Skew - symmetric Matrix. When : A = {:[(...

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  17. Verify that : A - A' is a Skew - symmetric Matrix. When : A = {:[(...

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  18. For the matrix A=[(1,5),(6,7)], verify that (A+A') is a symmetric matr...

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  19. For the matrix A= ((1,5),(6,7)) , verify that : A - A' is a Skew-Symme...

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  20. If A = {:[(3,1,-1),(0,1,2)], then show that AA' is a symmetric matrix.

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