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Show that {:[(4,1),(2,7)][(2,1),(3,4)] n...

Show that `{:[(4,1),(2,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(4,1),(2,7)]`

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Show that: [[5,-1],[6,7]][[2,1],[3,4]] ne [[2,1],[3,4]][[5,-1],[6,7]]

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

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

If A = {:[(-1,2,3),(5,7,9),(-2,1,1)] and B = [(-4,1,-5),(1,2,0),(1,3,1)] , then show that (A +B) = A'+B'

Show that the points : (4, 7, 8), (2, 3, 4), (- 1, - 2, 1), (1, 2, 5) are the vertices of a parallelogram.

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

Prove that |{:((a+1)(a+2),a+2,1),((a+2)(a+3),a+3,1),((a+3)(a+4),a+4,1):}|=-2

MODERN PUBLICATION-MATRICES-EXERCISE
  1. Show that {:[(4,1),(2,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(4,1),(2,7)]

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  2. If a matrix has 8 elements, what are the possibles orders it can have?

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  3. If a matrix has 24 elements, what are the possible orders it can have?...

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  4. Name the square matrix A = [a(ij)] in which a(ij) = 0, I ne J.

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  5. If [5,6,7] A = [13,23], what is the order of the matrix A?

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  6. Write the element a12 of the matrix A = [a(ij)](2xx2) a(ij) = e^(2ix...

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  7. For a 2xx2 matrix, A = [a(ij)], whose elements are given by a(ij) = ...

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  8. Find the value of 'x', if: {:[(3x+y, -y),(2y-x,3)] = [(1,2),(-5,3)]

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  9. Find the value of 'x', if: {:[(x+2y, 5),(-y,3)] = [(7,5),(-2,3)]

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  10. Find the value of 'y', if: {:[(y+2x, 5),(-x,3)]=[(7,5),(-2,3)]

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  11. Find the values of 'x' and 'y' when : {:[(x+2y, 3y),(4x,2)] = [(0,-3),...

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  12. Find the values of x, y and z from the following equation: [[x+y+z],[x...

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  13. If A is a square matrix of order m, and if there exists another square...

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  14. Construct a 2 xx 2 matrix A = [a(ij)] whose elements are given by...

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  15. Construct a 2xx2 matrix A = [a(ij)] whose elements are given by: a(i...

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  16. find the element of a13 if A = [a(ij)] whose elements are given by: ...

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  17. Construct a 2xx2 matrix A = [a(ij)] whose elements are given by: a(i...

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  18. Construct a 2xx2 matrix A = [a(ij)] whose elements are given by: a(i...

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  19. Construct a 2 xx 3 matrix whose elements in the ith row and jth co...

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  20. Construct a 2xx3 matrix whose elements in the with row and jth column ...

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  21. Construct a 3xx2 matrix whose elements in the ith row and jth column a...

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