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

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

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

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

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

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  15. If (A=[[3,-2],[4,-2]]), find K such that (A^2=KA - 2I2).

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

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

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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. The book shop of a particular school has 10 dozen Chemistry books, 8 d...

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

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