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Find x from the matrix equation [{:(1,3...

Find x from the matrix equation `[{:(1,3),(4,5):}][{:(x),(2):}]=[{:(5),(6):}]`.

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Find the value of y and x from the following equation 2[{:(x,5),(7,y-3):}]+[{:(3,-4),(1,2):}]=[{:(7,6),(15,14):}]

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Find the matrix A satisfying the equation [{:(2,1),(3,2):}].A.[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}]

Find the matrix A such that A[{:(1,2,3),(4,5,6):}]=[{:(-7,-8,-9),(2,4,6):}] .

Find x,y,z and t, if 2[{:(x,z),(y,t):}]+3[{:(1,-1),(0,2):}]=3[{:(3,5),(4,6):}] .

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

Find the transpose of the matrix [{:(4,3,1),(1,-2,3),(4,5,-1):}] .

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SHARAM PUBLICATION-MATRICES-EXAMPLE
  1. If [[2x+y,3y],[0,4]]=[[6,0],[0,4]]then find the value of x.

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

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

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

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

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

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

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

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

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

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

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  12. [[1,-2],[3,2]][[x,2],[1,y]]=[[-3,4],[-1,4]]Find x and y.

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

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

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

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  16. Can the inverse of the following matrix be found? [[0,0,2],[3,6,0],[2,...

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  17. Construct the matrix [a(ij)](2xx3) where a(ij)=|i-j|.

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  18. If A=[[1,1],[2,2]] and B=[[2,1],[2,1]]find AB andBA.

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  19. A and Bare square matrices of order n.Their product is commutative:Pro...

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  20. Find x,y if[[3,2],[7,x]][[5,-2],[-7,y]]=[[1,0],[0,1]].

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