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A matrix M has eigen values 1 and 4 with corresponding eigen vectors (1, –1)T  and  (2, 1)T, respectively. Then M  is :
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A matrix M has eigen values 1 and 4 with corresponding eigen vectors (...

We know that if λ is an eigenvalue of M, then X is the corresponding eigen vector then,
a12 – a22 = –1       ...(2)

2a21 + a22 = 4         ...(4)
Solving (1), (2), (3), (4), we get
a11 = 3, a12 = 2, a21 = 1, a22 = 2
The correct answer is:
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A matrix M has eigen values 1 and 4 with corresponding eigen vectors (1, –1)T and (2, 1)T, respectively. Then M is :a)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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