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

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

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SHARAM PUBLICATION-MATRICES-EXAMPLE
  1. For a 2xx 2 matrix A = [a(ij)] whose elements are given by a(ij) =i/j ...

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

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

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

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

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

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

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

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

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

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

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

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  13. If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]], show that for no values of...

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

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  15. If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...

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  16. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

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  17. [[1,-2],[3,2]][[x,2],[1,y]]=[[-3,4],[-1,4]]Find x and y.

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  18. If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O

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  19. Find the inverse of the matrix [{:(2,5),(1,3):}]

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  20. Find x, so that [{:(1,x,1):}][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(...

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