- #1

ME_student

- 108

- 5

## Homework Statement

A. If the equation Ax=0 has only the trivial solution, then A is row equivalent to the nxn identity matrix.

B. If the columns of A span R^n, the columns are linearly independent.

C. If A is an nxn matrix, then the equation Ax=b has at least one solution for each b in R^n.

D. If the equation Ax=0 has a nontrivial solution, then A has fewer than n pivot positions.

E. If A^T is not invertible, then A isn't invertible?

## Homework Equations

## The Attempt at a Solution

A. True

B. False

D. True I think.

As for the rest of them I would like to discuss them with you.

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