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Construct a(2xx2) matrix where (i) a(...

Construct `a_(2xx2)` matrix where
(i) `a_(ij)=((i-2j)^(2))/(2)`
(ii) `a_(ij)=|-2i+3j|`

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The correct Answer is:
(i) `=[{:((1)/(2),(9)/(2)),(0,2):}]_(2xx2`
(ii) `=[{:(1,4),(1,2):}]_(2xx2`
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KUMAR PRAKASHAN-MATRICES -Solutions of NCERT Exemplar Problems (Short Answer Type Questions)
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  2. In the matrix A=[{:(a,1,x),(2,sqrt(3),x^(2)-y),(0,5,-(2)/(5)):}] , wr...

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  3. Construct a(2xx2) matrix where (i) a(ij)=((i-2j)^(2))/(2) (ii) ...

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  10. Find x, if [1" "x" "1][{:(1,3,2),(2,5,1),(15,3,2):}][{:(1),(2),(x):}]=...

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  11. Show that A=[{:(5,3),(-1,-2):}] satisfies the equation A^(2)=3A-7I=0 ...

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  12. Find the matrix A satisfying the matrix equation : [{:(2,1),(3,2):}]...

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  13. Find A , if [{:(4),(1),(3):}]A=[{:(-4,8,4),(-1,2,1),(-3,6,3):}]

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  14. If A=[{:(3,-4),(1,1),(2,0):}]andB=[{:(2,1,2),(1,2,4):}],then verify (B...

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  15. If possible , find BA and AB , where A=[{:(2,1,2),(1,2,4):}],B=[{:...

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  16. Show by an example that for AneO,BneO,AB=O.

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  17. Given A=[{:(2,4,0),(3,9,6):}]andB=[{:(1,4),(2,8),(1,3):}]. Is (AB)'=B'...

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  18. Solve for x and y : x[{:(2),(1):}]+y[{:(3),(5):}]+[{:(-8),(-11):}]=...

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  19. If X and Y are 2xx2 matrices , then solve the following matrix equati...

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  20. If A=[3" " 5],B=[7" " 3] , then find a non - zero matrix C such tha...

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