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Deepak Patra posted an Question
December 04, 2021 • 15:42 pm
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30 points
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
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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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Anonymous User
understand