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Find the value of a if [[a-b,2a+c],[2a-b...

Find the value of a if `[[a-b,2a+c],[2a-b,3c+d]]=[[-1,5],[0,13]]`.

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SHARAM PUBLICATION-MATRICES-EXAMPLE
  1. If [[x-y,z],[2x-y,w]]=[[-1,4],[0,5]] then find the value of x+y.

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  2. If [{:(a+4,3b),(8,-6):}]=[{:(2a+2,b+2),(8,a-8b):}] then write the val...

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  3. Find the value of a if [[a-b,2a+c],[2a-b,3c+d]]=[[-1,5],[0,13]].

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  4. If 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1,8]]then find the value of x ...

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  5. If [[2x,4]] [[x],[-8]]=0then find the positive value of x.

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  6. The elements a(ij) of a 3 xx 3 matrix are given by a(ij)=1/2|-3i +j| ...

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  7. [{:(xy,4),(z+6,x+y):}]=[{:(8,w),(0,6):}] then write the value of (x...

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  8. Write the order of product matrix [[1],[2],[3]] [[2,3,4]].

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  9. Write the value of x-y + z from the following equation. [[x+y+z],[x+z]...

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  10. If [[1, 2, 3]] A = [0] then what is the order of the matrix.

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

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  12. If a(ij) = | i-j| then construct [a(ij)](2xx3).

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  13. Transform [[6,3],[2,2]] into unit matrix.

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  14. If A(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}], then prove...

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

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

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

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

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

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

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