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If A = [(cos alpha, sin alpha),(-sin alp...

If `A = [(cos alpha, sin alpha),(-sin alpha, cos alpha)]` , then show that AA'= A'A.

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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Matrices)
  1. 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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  2. IF A=[{:(7,-2),(-1,2),(5,3):}],B=[{:(-2,-1),(4,2),(-1,0):}] then find ...

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

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

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

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

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

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  8. Find the cofactors of 2 and -5 in the matrix [{:(-1,0,5),(1,2,-2),(-4,...

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  9. Find the determinant of the matrix [(a,h,g),(h,b,f),(g,f,c)]

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  10. Find the determinant of the matrix [{:(a,b,c),(b,c,a),(c,a,b):}]

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  11. P.T the determinant of skew symmetric matrix of order 3 is zero.

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

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  13. Find the Adjoint and Inverse of the matrix [(cos alpha,-sin alpha),(si...

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  14. If A = [(a+ib,c+id),(-c+id,a-ib)], a^(2)+b^(2)+c^(2)+d^(2) =1, then fi...

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  15. Find the rank of the matrix A = [(1,0),(0,1)]

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  16. Find the rank of the matrix A = [(1,1),(0,0)]

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

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  18. Find the rank of the matrix [(1,2,6),(2,4,3)]

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

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  20. Define Trace of a matrix.

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