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A2x2 matrix which satisfy A2 - A = 0, then
  • a)
    A is either  or 
  • b)
    There are infinite such matrix
  • c)
    There is no such matrix
  • d)
    must be diagonal
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A2x2 matrix which satisfy A2 - A = 0, thena)A is eitherorb)There are i...
We are given that A be any 2 x 2 matrix which satisfy A2 - A = 0
The characteristic equation of the given matrix is

There exists distinct eigen values.
Hence, A must be diagonalizable.
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Most Upvoted Answer
A2x2 matrix which satisfy A2 - A = 0, thena)A is eitherorb)There are i...
We are given that A be any 2 x 2 matrix which satisfy A2 - A = 0
The characteristic equation of the given matrix is

There exists distinct eigen values.
Hence, A must be diagonalizable.
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A2x2 matrix which satisfy A2 - A = 0, thena)A is eitherorb)There are infinite such matrixc)There is no such matrixd)must be diagonalCorrect answer is option 'D'. Can you explain this answer?
Question Description
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