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Compute the following: [[-1,4,-6],[8,...

Compute the following:
`[[-1,4,-6],[8,5,16],[2,8,5]]+[[12,7,6],[8,0,5],[3,2,4]]`

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`[[1,-2],[2,3]], [[1,2,3],[2,3,1]]=[[1-4, 2-6, 3-2],[2+6, 4+9, 6+3]]=[[-3, -4,1],[8,13,9]]`
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Find x and y if 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1,8]]

Find the matrix X so that X[[1 , 2, 3],[ 4, 5, 6]]=[[-7, -8, -9],[ 2, 4, 6]]

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Given that A+B=[[2,5],[7,8]] and A-B=[[6,8],[4,3]] Find 2A .

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State with reason whether the following functions have inverse g : {5, 6, 7, 8} rarr {1, 2, 3, 4} with g = {(5, 4), (6, 3), (7, 4), (8, 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],[1/5, 2/5, 4/5],[7/5, 6/5, 2/5]] then compute 3A-5B

A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
  1. Compute the following: [[a,b],[-b,a]][[a,-b],[b,a]]

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  2. Compute the following: [1 \ 2 \ 3]+ [2 \ 3 \ 4]

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

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

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  5. Compute the following: [[2,1],[3,2],[-1,1]] [[1,0,1],[-1,2,1]]

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

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  7. Let A=[[1,2],[3,4]] , B=[[2,1],[4,5]] , C=[[1,-1],[0,2]] Show that (...

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  8. 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]...

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  9. Simplify costheta[[costheta, sin theta],[-sintheta, costheta]]+sinthet...

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

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

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

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

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  14. Solve the equation for x,y,z and t, if 2[[x,z],[y,t]]+3[[1,-1],[0,2]]=...

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

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  16. Given 3[[x,y],[z,w]]=[[x,6],[-1,2w]]+[[4, x+y],[z+w, 3]] find the va...

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  17. If f(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]] Find f(-x)

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

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  19. 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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  20. Find A^2-5A+6I, if A=[[2,0,1],[2,1,3],[1,-1,0]]

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