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IfA is annon singular matrix ofsize `3 //3` then what is adj. (adjA) ?

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SHARAM PUBLICATION-MATRICES-EXAMPLE
  1. If A(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}], then prove...

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  2. If A is an orthogonal matrix then find |A|.

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  3. IfA is annon singular matrix ofsize 3 //3 then what is adj. (adjA) ?

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  4. IfAand B are two square matrices such that B = -A^(-1)BA then show th...

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  5. If 3A-B=[{:(5,0),(1,1):}] and B=[{:(4,3),(2,5):}] then find the matrix...

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  6. If x[[2],[3]]+y[[-1],[1]]=[[10],[5]] then write the value of x.

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  7. Find the value of y and x from the following equation 2[{:(x,5),(7,y-...

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

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

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

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

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

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

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

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

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

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

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

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

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

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