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Construct a 3 xx 2 matrix whose elements...

Construct a `3 xx 2` matrix whose elements are defined by `a_(ij) = 1/2|i - 3j|`

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The correct Answer is:
`therefore A =[{:(1,5/2),(1/2,2),(0,3/2):}]`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-MATRICES -SOLVED PROBLEMS
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  3. Construct a 3 xx 2 matrix whose elements are defined by a(ij) = 1/2|i ...

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  4. If A = [(0,1,2),(1,2,3),(2,3,4)], B = [(1,-2),(-1,0),(2,-1)] then find...

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  5. If A=[(1,-2,3),(2,3,-1),(-3,1,2)] and B=[(1,0,2),(0,1,2),(1,2,0)] then...

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  6. if A = [(I,0)(0,-i)] then show that A^(2) = -1 (i^(2)=-1).

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  7. If A = [(cos theta, sin theta),(-sin theta, cos theta)] then show that...

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  8. IF A=[{:(1,2,2),(2,1,2),(2,2,1):}] then show that A^2-4A-5I=O.

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  9. IF A=[{:(-2,1,0),(3,4,-5):}] and B=[{:(1,2),(4,3),(-1,5):}] then fin...

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  10. IF A=[{:(-1,2),(0,1):}] then find AA'. Do A and A' commute with respec...

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  11. If [(0,4,-2),(-4,0,8),(2,-8,x)] is a skew symmetric matrix then find t...

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  12. For any n xx n matrix A, prove that A can be uniquely expressed as a s...

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  14. Show that |{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=2|{:(a,b,c),...

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  15. Show that |{:(1,a^2,a^3),(1,b^2,b^3),(1,c^2,c^3):}| =(a-b)(b-c)(c-a)(a...

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  16. find determinant of |(1, omega, omega^(2)),(omega, omega^(2),1),(omega...

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  17. Show that |{:(a-b-c," "2a," "2a),(" "2b,b-c-a," "2b),(" "2c," "2...

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  18. Show that the determinant of skew - symmetric matrix of order three is...

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  19. Fiind the valueof x if: |{:(x-2, 2x-3, 3x-4),(x-4, 2x-9, 3x-16),(x-8...

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  20. Find the Adjoint and Inverse of the matrix A = [(1,2),(3,-5)]

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