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

If `A = [(1,-2,3),(-4,2,5)], B = [(2,3),(4,5),(2,1)]` do AB and BA exist? If they exist, find them.
Do A and B commute with respect to multiplication?

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The correct Answer is:
`AB != BA` ; A and B are not commutative with respect to multiplication of matrices.
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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Matrices)
  1. Find the product [(2,1,4),(6,-2,3)][(1),(2),(1)]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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