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Simplify: cos theta[[cos theta , sin the...

Simplify: `cos theta[[cos theta , sin theta],[-sin theta , cos theta]]+sin theta[[sin theta, -cos theta],[cos theta ,sin theta]]`.

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SHARAM PUBLICATION-MATRICES-EXAMPLE
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  3. Simplify: cos theta[[cos theta , sin theta],[-sin theta , cos theta]]+...

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  4. If matrix A=[[3,-3],[-3,3]] and A^2= lambda A then write the value of ...

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  5. For a 2xx 2 matrix A = [a(ij)] whose elements are given by a(ij) =i/j ...

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  6. If [[9,-1,4],[-2,1,3]]=A+[[1,2,-1],[0,4,9]]then find the matrix A.

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  7. If [[x,x-y],[2x+y,7]]=[[3,1],[8,7]] then find the value of y.

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  8. If [[y+2x,5],[-x,3]]=[[4,5],[-2,3]]then find the value of y.

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  9. If [[2x,1],[5,x+2y]]=[[4,1],[5,0]]then find the value of x+y.

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  10. If [[2x+y,3y],[0,4]]=[[6,0],[0,4]]then find the value of x.

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  11. If [[1,3],[4,5]]=[[7,11],[k,23]]then write the value of k.

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  12. Find x from the matrix equation [{:(1,3),(4,5):}][{:(x),(2):}]=[{:(5)...

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  13. Findthe inverse ofthe matrix[[1,1,2],[0,1,2],[1,2,1]].

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  14. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

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  15. If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] then find the value of A^(2)-3A+2I

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  16. If A =[[1,2,2],[2,1,2],[2,2,1]] then prove that A^2-4A-5I=0.

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  18. Find the inverse of the matrix [[0,0,2],[0,2,0],[2,0,0]].

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