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Simplify, costheta[[cos theta, sin theta...

Simplify, `costheta[[cos theta, sin theta],[-sin theta, cos theta]] + sin theta [[sin theta, -cos theta],[cos theta, sin theta]]`

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. If A = [[1,2,-3],[5,0,2],[1,-1,1]], B = [[3,-1,2],[4,2,5],[2,0,3]] and...

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  2. If A = [[2/3,1,5/3],[1/3,2/3,4/3],[7/3,2,2/3]] and B = [[2/5,3/5,1],[1...

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  3. Simplify, costheta[[cos theta, sin theta],[-sin theta, cos theta]] + s...

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  4. Find X and Y, if X+Y = [[7,0],[2,5]] and X-Y = [[3,0],[0,3]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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