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If A is a square matrix such that `A^2 = A`, then write the value of `7A-(I+A)^3`, where I is an identity matrix.

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. If {:((1,2),(3,4)),((3,1),(2,5)),= ((7,11),(k,23)), then write the val...

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  2. If A = [(2,3),(5,-2), write A^-1 in terms of A.

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  3. If A is a square matrix such that A^2 = A, then write the value of 7A-...

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  4. Solve the following equations for x : [x 1] {:[(1,0),(-2,0)] = 0

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  5. Find x, if any such that [(3,4),(-1,x)] = [(0, x +2),(-1,2)]

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  6. If [{:(a+4,3b),(8,-6):}]=[{:(2a+2,b+2),(8,a-8b):}] write the value of ...

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  7. If matrix A = {:[(2,-2),(-2,2)] and A^2 = lambdaA, then write the valu...

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  8. If [(xy,4),(z+6,x+y)] = [(8,w),(0,6)], write the value of x + y + z.

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  9. In the matrix A = [[2,5,19,-7],[35,-2,5/2,12],[sqrt3,1,-5,17]], write:...

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  10. In the matrix A = [[2,5,19,-7],[35,-2,5/2,12],[sqrt3,1,-5,17]], write:...

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  11. In the matrix A = [[2,5,19,-7],[35,-2,5/2,12],[sqrt3,1,-5,17]], write:...

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

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  13. If a matrix has 18 elements, what are the possible orders it can have?...

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  14. Construct a 2xx2 matrix, A = [A(ij)]. Whose elements are given by : A(...

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

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

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  17. Construct a 3xx4 matrix, whose elements are given by: aij = 1/2|-3i +...

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  18. Construct a 3xx4 matrix, whose elements are given by: aij = 2i -j

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  19. Find the values of x, y and z from the following equation: [[4,3],[x,5...

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  20. Find the value of x, y, z from the following equation [(x +y,2),(5+...

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