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

Let `A=[[2,4],[3,2]]` , `B=[[1,3],[-2,5]]` , `C=[[-2,5],[3,4]]`
Find each of the folowing
`AB`

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`AB=[[2,4],[3,2]],[[1,3],[-2,5]]=[[2xx1+4xx-2, 2xx3+4xx5],[3xx1+2xx-2, 3xx3+2xx5]]`
`=[[2-8, 6+20],[3-4, 9+10]]=[[-6,26],[-1,19]]`
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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. Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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