Let A A be a specific matrix with 5 rows and 3 columns. Determine whether the matrix equation Ax=0 Ax=0 has a nontrivial solution. What would you do?...

Let A

A be a specific matrix with 5 rows and 3 columns. Determine whether the matrix equation Ax=0

Ax=0 has a nontrivial solution. 

What would you do?

1.Row reduce A

A to a row echelon form, REF, and check whether REF of A

A has a pivot in every row. If Yes, then Ax=0

Ax=0 has a nontrivial solution.

2.Row reduce A

A to REF and check whether REF of A

A has a pivot in every column. If Yes, then Ax=0

Ax=0 has a nontrivial solution.

3.Row reduce A

A to REF and check whether REF of A

A has a pivot in every column. If No, then Ax=0

Ax=0 has a nontrivial solution.

4.Row reduce A

A to REF and check whether REF of A

A has a pivot in the last column. If No, then Ax=0

Ax=0 has a nontrivial solution.