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Compute the following: [[a,b],[-b,a]]+...

Compute the following:
`[[a,b],[-b,a]]+[[a,b],[b,a]]`

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Given sum=`[[a+a, b+b],[-b+b, a+a]]=[[2a, 2b],[0, 2a]]`
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Compute the following: i) [[a, b],[ -b, a]]+[[a, b],[ b , a]] . ii) [[a^2+b^2 , b^2+c^2], [a^2+c^2 , a^2+b^2]]+[[2 a b , 2 b c],[ -2 a c, -2 a b]] iii) [[-1 , 4 ,-6] ,[ 8, 5 , 16],[ 2 , 8 , 5]]+[[12, 7 ,6 ],[ 8, 0, 5],[ 3, 2, 4]] iv) [[cos ^2 x ,. sin ^2 x],[ sin ^2 x , cos ^2 x]]+[[sin ^2 x, cos ^2 x ],[ cos ^2 x ,sin ^2 x]] .

Using properties of determinants prove the following. abs[[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4abc

Compute the following: [[a^2+b^2, b^2+c^2],[a^2+c^2, a^2+b^2]]+[[2ab, 2bc],[-2ac, -2ab]]

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A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
  1. Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each ...

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  2. Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each ...

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  3. Compute the following: [[a,b],[-b,a]]+[[a,b],[b,a]]

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  4. Compute the following: [[a^2+b^2, b^2+c^2],[a^2+c^2, a^2+b^2]]+[[2ab...

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

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

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  7. Compute the following: [[a,b],[-b,a]][[a,-b],[b,a]]

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

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

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

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

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

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

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

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

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

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

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

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

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