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Find the rank of the matrix [(1,4,-1),(2...

Find the rank of the matrix `[(1,4,-1),(2,3,0),(0,1,2)]`

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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Matrices)
  1. Find the determinant of the matrix [(1^(2),2^(2),3^(2)),(2^(2),3^(2),4...

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  2. If omega is complex cube root of 1 then S.T [(1,omega,omega^(2)),(omeg...

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  3. Find the rank of the matrix [(1,4,-1),(2,3,0),(0,1,2)]

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  4. Find the rank of [{:(1,1,1),(1,1,1),(1,1,1):}]

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  5. If [[x-3,2y-8],[z+2,6]] = [(5,2),(-2,a-4)] then find x,y,z & a.

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  6. IF [{:(x-1,2,5-y),(0,z-1,7),(1,0,a-5):}]=[{:(1,2,3),(0,4,7),(1,0,0):}...

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  7. If A = [(-1,3),(4,2)],B=[(2,1),(3,-5)], X=[(x(1),x(2)),(x(3),x(4))] an...

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  8. If A = [(2,3,1),(6,-1,5)], B = [(1,2,-1),(0,-1,3)] then find the matri...

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  9. If A = [(0,1,2),(2,3,4),(4,5,-6)], B=[(-1,2,3),(0,1,0),(0,0,-1)] then ...

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  10. Find the additive inverse of A where A = [(i,0,1),(0,-i, 2),(-1,1,5)]

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

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  12. Construct a 3 xx 2 matrix whose elements are defined by a(ij) = 1/2|i ...

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

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

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

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

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

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

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

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

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