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Let P and Q be square matrices such that PQ = I, then zero is an eigen value of
  • a)
    P but not of Q
  • b)
    Q but not of P
  • c)
    Both P and Q
  • d)
    Neither P nor Q
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Let P and Q be square matrices such that PQ = I, then zero is an eige...
We have PQ = I
Or Q = P-1 = or P = Q-1
If zero is an eigen value of any of the matrix, then other matrix will have infinity as an eigen value.
Thus, zero is not an eigen value of either P or Q.
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Let P and Q be square matrices such that PQ = I, then zero is an eigen value ofa)P but not of Qb)Q but not of Pc)Both P and Qd)Neither P nor QCorrect answer is option 'D'. Can you explain this answer?
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