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Deepak Patra posted an Question
December 04, 2021 • 10:12 am 30 points
  • IIT JAM
  • Mathematics (MA)

Q.no. 27 suppose v is a finite dimensional non-zero vector space over c and t:v > v is a linear transformation such that range (t) = nullspace(t). then which of

Q.No. 27 Suppose V is a finite dimensional non-zero vector space over C and T:V > V is a linear transformation such that Range (T) = Nullspace(T). Then which of the following statements is FALSE? The dimension of V is even 0 is the only eigenvalue of T Both 0 and 1 are eigenvalues of T (A) (B) (C) (D) T2 =0

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  • Anonymous User Best Answer

    c check attachment

    cropped1824249200892417651.jpg
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    in option b it is saying that 0 is the only eigen value of T ... is it true that 0 is the only eigen value ... no other eigen value exist in T except 0????

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    0 eigen value of T

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    sir please prove that 0 is the only eigen value of T???

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