IIT JAM
Ashwini Asked a Question
February 13, 2021 2:18 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

Let m be an n x n (n2 2) non-zero real matrix with m = 0 and let a e r\{0}. then (a) a is the only eigenvalue of (m +al) and (m - al) (b) a is the only eigenval

Let M be an n x n (n2 2) non-zero real matrix with M = 0 and let a E R\{0}. Then (A) a is the only eigenvalue of (M +al) and (M - al) (B) a is the only eigenvalue of (M +al) and (al - M) (C)-a is the only eigenvalue of (M +al) and (M - al) (D)-a is the only eigenvalue of (M +al) and (al - M)
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  • Piyush pachauri
    Any doubt then you can ask
    Likes(1) Reply(0)
  • Piyush pachauri thankyou
    Option B is correct
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  • Piyush pachauri
    Take matrix M(2×2) such that M12=1 and all other entries are zero. Then option A,C,D are discarded.
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  • Satpal singh
    any doubt you can ask.
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  • Satpal singh Best Answer
    see this video completely. your solution is given completely. https://youtu.be/AZR81i2tw3M
    Likes(0) Reply(0)
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