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Evaluate the following : [[1,3],[2,1]][...

Evaluate the following : ` [[1,3],[2,1]][[4],[-1]]`

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The correct Answer is:
`[[1],[7]]`
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KC SINHA-MATRICES - FOR BOARDS-Exercise
  1. If A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] find AB and BA.

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  2. Evaluate the following : [[0,2],[0,3]] [[4,6],[0,0]]

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  3. Evaluate the following : [[1,3],[2,1]][[4],[-1]]

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  4. Evaluate the following : [[2],[4],[6]][[1,2,3]]

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  5. Evaluate the following : [ [1, 2, 3]] [[2],[4],[6]]

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  6. Evaluate the following : [[1,2,-3],[-2,1,7]] [[2,3,1],[5,4,2],[1,6,3]...

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  7. Evaluate the following : [[1,4,2],[5,-2,3]][[2,-4],[1,-3],[4, 0]]

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  8. If A=[[2,9],[4,3]] and B= [[1,5],[7,2]] find AB-BA

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  9. If A=[[cos theta, sin theta],[sin theta, cos theta]],B=[[cos phi, sin ...

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  10. If A=[[1,2],[5,7]] and B=[[2,0],[ 3,-4]], show that AB!=BA

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  11. If A=[[1,2],[3,-4],[5,6]] and B=[[4,5,6],[7,-8,2]], is AB=BA? Also fin...

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  12. If A=[[-1,2],[3,4]] and B=[[2,-3],[5,1]] show that AB!=BA

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  13. If A=[[1,2,3],[0,1,0],[1,1,0]] and B=[[-1,1,0],[0,-1,1],[2,3,4]] show ...

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  14. Evaluate the following :{[[1,3],[-1,-4]]+[[3,-2],[-1,1]]}[[1,3,5],[2,4...

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  15. Evaluate the following : Find [[1,-1],[0,2],[2,3]]([[1,0,2],[2,0,1]]-[...

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  16. Evaluate the following : [[1, 1, 1]] [[1,0,0],[0,1,0],[0,0,1]][[4],[4]...

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  17. Evaluate : [[1,3,5]][[1,0,3],[2,0,1],[0,1,2]][[1],[4],[6]]

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  18. Evaluate the following : [[1,-1],[0,2],[2,3]]([[1,0,2],[2,0,1]]-[[0,1...

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  19. If P(x) = [(cosx, sinx), (-sinx, cosx)] then show that P(x)P(y)=P(x+y...

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  20. If F(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]] Show that F(x)F(y)=F(x+...

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