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A=[{:(1,1,1),(0,0,0),(1,1,0):}]impliesA^...

`A=[{:(1,1,1),(0,0,0),(1,1,0):}]impliesA^(2) -2A=`

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SIA PUBLICATION-MATRICES-PROBLEMS
  1. A(alpha, beta)=((cos alpha, sin alpha, 0),(- sin alpha, cos alpha, 0),...

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  2. If A is a matrix such that ((2,1),(3,2))A((1,1))=((1,1),(0,0)) then A=

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  3. A=[{:(1,1,1),(0,0,0),(1,1,0):}]impliesA^(2) -2A=

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  4. |(24,25,26),(25,26,27),(26,27,27)|=

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  5. f(x)=|(2 cosx, 1, 0),(x-(pi)/2, 2 cos x, 1),(0, 1, 2cosx)|impliesf'(pi...

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  6. |(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)),(z,z^(2),1+z^(2))|=0,x!=y!=zimpli...

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  7. If the system of equations (k+1)^(3)x+(k+2)^(3)y=(k+3)^(2),(k+1)x+(k+2...

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  8. If A is a nonzero square matrix of order n with det(I+A)!=0 and A^(3)=...

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  9. Suppose A and B are two square matrices of same order. If A, B are sym...

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  10. If one of the roots of |{:(3,5,x),(7,x,7),(x,5,3):}|=0 is -10, then th...

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  11. If x,y,z are all positive and are the pth, qth and rth terms of a geom...

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  12. If |(1,-1,x),(1,x,1),(x,-1,1)| has no inverse, then the real value of ...

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  13. The inverse of the matrix [(7,-3,3),(-1,1,0),(-1,0,-1)] is

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

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  15. If A=((1,-2),(4,5)) and f(t)=t^(2)-3t+7 then f(A)+((3,6),(-12,-9))=

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  16. If ((1,2,x),(4,-1,7),(2,4,-6)) is a singular matrix, then x=

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  17. If A is a square matrix such that A(AdjA)=((4,0,0),(0,4,0),(0,0,4)) th...

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  18. The number of nontrivial solutions of the system: x-y+z=0, x+2y=0, 2x+...

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  19. A=[{:(1,2,2),(2,1,2),(2,2,1):}], then A^(3) - 4A^(2) -6A is equal to

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  20. If A is an invertible matrix of order n, then the determinant of adj A...

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