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Let A be a real matrix of 7 × 5 format. Answer the questions following: (1)...

Let A be a real matrix of 7 × 5 format. Answer the questions
following:
(1) Can the homogeneous system AX = 0 have a non-trivial solution?
(2) Can the columns of A form a generating system of R^7?
(3) Can the columns of A be linearly independent in R^7?

A. Yes, No, No                       D. No, No, Yes

B. Yes, Yes, Yes                     E. No, No, No

C. Yes, No, Yes                      F. No, Yes, Yes
Math   Calculus   
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(C) yes, No, Yes is correct answer

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