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Find x and y if 2[(1,3),(0,x)] + [(y,0),...

Find x and y if `2[(1,3),(0,x)] + [(y,0),(1,2)] = [(5,6),(1,8)]`

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Find X and Y, if 2X + 3Y = [[2,3],[4,0]] and 3X + 2Y = [[2,-2],[-1,5]]

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  2. Find X , if Y = [[3,2],[1,4]]and 2X + Y = [[1,0],[-3,2]]

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  3. Find x and y if 2[(1,3),(0,x)] + [(y,0),(1,2)] = [(5,6),(1,8)]

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  4. Solve the equation for x,y,z and t, if 2{:[(x,z),(y,t)] + 3 [(1,-1),(0...

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  5. If x [[2],[3]]+y[[-1],[1]]=[[10],[5]], then find the value of x and y.

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  6. Given3[[x,y],[z,w]] = [[x,6],[-1,2w]] + [[4,x+y],[z+w,3]] , find the v...

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  7. If F (x) = [[cos x,-sin x,0],[sin x, cos x, 0],[0,0,1], then show that...

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

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  9. Show that: [[1,2,3],[0,1,0],[1,1,0]][[-1,1,0],[0,-1,1],[2,3,4]] ne [[...

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  10. If A = {:[(2,0,1),(2,1,3),(1,-1,0)], then find A^2 - 5A 6I

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

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  12. If A = [ (3,-2),(4,-2)] and I = [(1,0),(0,1)] , then find k so that A...

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  13. If A = [[0,-tan alpha/2],[tan alpha/2,0]] and I is the identity matrix...

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  14. A trust fund has Rs. 30,000 that must be invested in two different typ...

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  15. A trust fund has Rs. 30,000 that must be invested in two different typ...

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  16. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

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  17. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

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  18. Find the transpose of each of the followig matrices. [(5),(1/2),(-1)...

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  19. Find the transpose of each of the followig matrices. [(1,-1),(2,3)]

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  20. Find the transpose of each of the following matrices: {:[(-1,5,6),(s...

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