pintudube Posts: 1, Reputation: 1 New Member #1 Mar 22, 2018, 09:51 PM
9. Which of the following statements are true and which are false? Justify your answer with
a short proof or a counterexample. (10)
I) R2 has infinitely many non-zero, proper vector subspaces.
ii) If T : V →W is a one-one linear transformation between two finite dimensional
vector spacesV and W then T is invertible.
iii) If Ak = 0 for a square matrix A, then all the eigenvalues of A are zero.
iv) Every unitary operator is invertible.
v) Every system of homogeneous linear equations has a non-zero solution.
 Curlyben Posts: 18,505, Reputation: 1860 BossMan #2 Mar 23, 2018, 12:12 AM
What do YOU think ?
While we're happy to help we wont do all the work for you.
 smoothy Posts: 25,495, Reputation: 2853 Uber Member #3 Mar 23, 2018, 10:51 AM
Is there a full moon? And what color shirt is the otter wearing?

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