In its Reduced Echelon Form, Matrix A has a pivot in every row.
In its Reduced Echelon Form, Matrix A has a pivot in every column.
What can you say about Ax = 0?
If b is nontrivial, what can you say about Ax = b?
In its Reduced Echelon Form, Matrix A has a pivot in every row.
In its Reduced Echelon Form, Matrix A does not have a pivot in every column.
What can you say about Ax = 0?
If b is nontrivial, what can you say about Ax = b?
In its Reduced Echelon Form, Matrix A does not have a pivot in every row.
In its Reduced Echelon Form, Matrix A has a pivot in every column.
What can you say about Ax = 0?
If b is nontrivial, what can you say about Ax = b?
In its Reduced Echelon Form, Matrix A does not have a pivot in every row.
In its Reduced Echelon Form, Matrix A does not have a pivot in every column.
What can you say about Ax = 0?
If b is nontrivial, what can you say about Ax = b?