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Construct a 2xx3 matrix having elements ...

Construct a `2xx3` matrix having elements given by
(i) `a_(ij)=(i)/(j)`
(ii) `a_(ij)=ixxj`

Text Solution

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The correct Answer is:
`[{:(1,(1)/(2),(1)/(3)),(2,1,(2)/(3)):}]`
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ARIHANT PUBLICATION-MATRICES -ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (a) )
  1. Construct a 2xx3 matrix having elements given by a(ij)=i-j

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  2. Construct a 2xx3 matrix having elements given by (i) a(ij)=(i)/(j) ...

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  3. Construct a 2xx3 matrix having elements given by (i) a(ij)=(i)/(j) ...

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  4. If [{:(2x,y),(1,3):}]+[{:(4,2),(0,-1):}]=[{:(8,3),(1,2):}] , find x an...

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  5. Find A such that[[2,3,4],[1,0,-2],[3,1,-1]]+A=[[1,2,-1],[2,-1,0],[1,3,...

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  6. If [{:(x+y,x-z),(2x-y,0):}]=[{:(2,2),(1,0):}],find the value of x,y,z.

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  7. What is the order of the matrix B if[" 3"" 4"" 2 ""] B =[ 2 "" 1"" 0""...

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  8. Find A if [[4],[1],[3]] A =[[-4,8,4],[-1,2,1],[-3,6,3]]

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  9. Find B if B^(2)=[{:(17,8),(8,17):}]

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  10. Find x and y when [{:(1,3),(2,-1):}][{:(x),(y):}]=[{:(4),(1):}].

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  11. Find AB and BA given that: A=[[0,1],[1,0]],B=[[2,3],[4,1]]

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  12. Find AB and BA given that: A=[[7,5],[6,4]],B=[[1,0],[0,1]]

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  13. Find AB and BA given that: A=[[1,-1],[2,3]],B=[[4,2],[-1,-2]]

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  14. Find AB and BA given that: A=[[1,2],[2,5]],B=[[5,-2],[-2,1]]

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  15. Evaluate [[2,1]+2[0,-2]][[2,1,3],[1,-2,0]]

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  16. Evaluate [[[1,2],[3,0]]+[[1,-2],[2,3]]][[2],[1]]

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  17. If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1...

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  18. Find A and B where 2A+B=[[2,2,5],[5,4,3],[1,1,4]]"and" A-2B=[[1,6,5],...

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  19. If A=[{:(4,2),(-1,1):}] and I is the 2xx2 unit matrix, find (A-2I)(A-3...

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  20. Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...

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