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if A = [(2,4),(-1,k)], and A^(2) = [(0,...

if `A = [(2,4),(-1,k)], and A^(2) = [(0,0),(0,0)]` find the value of k.

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The correct Answer is:
`-2`
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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Matrices)
  1. If A = [(1,2),(3,4)], B = [(3,8),(7,2)] 2X + A = B then find X.

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  2. Find the trace of [(1,3,-5),(2,-1,5),(2,0,1)]

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  3. if A = [(2,4),(-1,k)], and A^(2) = [(0,0),(0,0)] find the value of k.

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  4. If A = [(2,-4),(-5,3)] then find A+A' and AA'.

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

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  6. If A = [(2,0,1),(-1,1,5)], B = [(-1,1,0),(0,1,-2)] then find (AB')'.

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  7. If A = [(2,-1,2),(1,3,-4)], and B = [(1,-2),(-3,0),(5,4)] then verify...

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  8. If [(0,2,1)(-2,0,-2),(-1,x,0)] is a skew symmetric matrix then find th...

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  9. If A = [(1,0,0),(2,3,4),(5,-6,x)] det A = 45 then find x.

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  10. Find the determinant of the matrix [(1^(2),2^(2),3^(2)),(2^(2),3^(2),4...

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

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

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

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

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  15. 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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  16. 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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  17. If A = [(2,3,1),(6,-1,5)], B = [(1,2,-1),(0,-1,3)] then find the matri...

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

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

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