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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:
`A = [(1,5/2),(1/2,2),(0,3/2)]`
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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Matrices)
  1. Find the additive inverse of A where A = [(i,0,1),(0,-i, 2),(-1,1,5)]

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  2. Find the trace of A, if A = [(1,2,-1//2),(0,-1, 2),(-1//2,2,1)]

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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. A certain book shop has 10 dozen chemistry books, 8 dozen physics book...

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

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  6. If A=[(i,0),(0,i)] then find A^(2).

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  7. Find the product [-1, 4, 2][(5),(1),(3)]

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  8. Find the product [(2,1,4),(6,-2,3)][(1),(2),(1)]

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  9. If A = [(2,1),(1,3)] and B = [(3,2,0),(1,0,4)], then find AB. Find BA ...

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  10. If A = [(1,-2,3),(-4,2,5)], B = [(2,3),(4,5),(2,1)] do AB and BA exist...

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

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

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  13. If A = [(-2,1,0),(3,4,-5)] and B = [(1,-2),(4,3),(-1,5)] then find A +...

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  14. If A = [(1,5,3),(2,4,0),(3,-1,-5)], B = [(2,-1,0),(0,-2,5),(1,2,0)] th...

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  15. IF A=[{:(7,-2),(-1,2),(5,3):}],B=[{:(-2,-1),(4,2),(-1,0):}] then find ...

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  16. If A = [(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then show th...

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  17. Is [(0,1,4),(-1,0,7),(-4,-7,0)] symmetric or shew symmetric?

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  18. If A = [(-1,2,3),(2,5,6),(3,x,7)] is symmetric, find value of x.

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

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  20. Find the minors of -1 and 3 in the matrix [(2,-1,4),(0,-2,5),(-3,1,3)]

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