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Let M =  Then
  • a)
    M is diagonalizable but not M2.
  • b)
    M2 is diagonalizable but not M.
  • c)
    both M and M2 are diagonalizable.
  • d)
    neither M or M2 is diagonalizable.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let M =Thena)M is diagonalizable but not M2.b)M2 is diagonalizable but...
M is upper triangular matrix. So, 1,4,9 are eigenvalue. Hence, diagonalizable.

eigenvalues of Mare distinct. So, diagonalizable.
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Let M =Thena)M is diagonalizable but not M2.b)M2 is diagonalizable but not M.c)both M and M2 are diagonalizable.d)neither M or M2 is diagonalizable.Correct answer is option 'C'. Can you explain this answer?
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Let M =Thena)M is diagonalizable but not M2.b)M2 is diagonalizable but not M.c)both M and M2 are diagonalizable.d)neither M or M2 is diagonalizable.Correct answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let M =Thena)M is diagonalizable but not M2.b)M2 is diagonalizable but not M.c)both M and M2 are diagonalizable.d)neither M or M2 is diagonalizable.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let M =Thena)M is diagonalizable but not M2.b)M2 is diagonalizable but not M.c)both M and M2 are diagonalizable.d)neither M or M2 is diagonalizable.Correct answer is option 'C'. Can you explain this answer?.
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