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Compute the following: : [[cos^2x,sin^2x...

Compute the following: : `[[cos^2x,sin^2x],[sin^2x,cos^2x]] + [[sin^2x,cos^2x],[cos^2x,sin^2x]]`

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PSEB-MATRICES-Exercise
  1. Compute the following: : [[a^2+b^2,b^2+c^2],[a^2+c^2,a^2+b^2]] + [[2ab...

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  2. Compute the following: : [[-1,4,-6],[8,5,16],[2,8,5]] + [[12,7,6],[8,0...

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  3. Compute the following: : [[cos^2x,sin^2x],[sin^2x,cos^2x]] + [[sin^2x,...

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  4. Compute the indicated products: [[a,b],[-b,a]][[a,-b],[b,a]]

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  5. Compute the indicated products: [[1],[2],[3]][[2,3,4]]

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  6. Compute the indicated products: [[1,-2],[2,3]][[1,2,3],[2,3,1]]

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  7. Compute the indicated products: [[2,3,4],[3,4,5],[4,5,6]][[1,-3,5],[0,...

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  8. Compute the indicated products: [[2,1],[3,2],[-1,1]][[1,0,1],[-1,2,1]]

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  9. Compute the indicated products: [[3,-1,3],[-1,0,2]][[2,-3],[1,0],[3,1]...

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  10. 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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  11. 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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  12. Simplify, costheta[[cos theta, sin theta],[-sin theta, cos theta]] + s...

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

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

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

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

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

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

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  19. If f(x)=[[cos x,-sin x,0],[sin x,cos x,0],[0,0,1]] , show that f(x).f(...

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

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