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If A = [[2,0,1],[2,1,3],[1,-1,0]] then f...

If `A = [[2,0,1],[2,1,3],[1,-1,0]]` then find `A^2-5A+6I`.

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If A = [[2,0,1],[2,1,3],[1,1,0]] then find A^2-2A+5I .

If A = [[2,0,1],[2,-1,3],[1,1,0]] then find A^2-3A+2I .

If A= [[2,0,1],[2,1,3],[1,-1,0]] , find A^2-5A+6I=O

If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] find A^(2)-5A+4I and find a matrix X such that A^(2)-5A+4I+X=O

If A=[[2,0,-1],[5,1,0],[0,1,3]] , prove that : A^-1=A^2-6A+11I

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For the matrix A = [[1,1,1],[1,2,-3],[2,-1,3]] , show that A^3 - 6A^2 + 5A + 11I = 0 . Hence find A^-1 .

If A = [[1,0,2],[0,2,1],[2,0,3]] , prove that A^3 -6A^2 +7A + 2I = 0

For the matrix A = [[1,1,1],[1,2,-3],[2,-1,3]] Show that A^3-6A^2+5A+11I=O Hence, find A^-1

MODERN PUBLICATION-MATRICES-EXERCISE
  1. If A = [[2,0,1],[2,1,3],[1,-1,0]] then find A^2-5A+6I.

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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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