Create a 1 page essay paper that discusses LINEAR ALGEBRA. In addition, a matrix

Create a 1 page essay paper that discusses LINEAR ALGEBRA.
In addition, a matrix is not invertible if and only if there is a linear dependence between rows, i.e. that one row is a linear combination of the others and that is the case for the three matrices provided.
b) Suppose A is an n×n matrix with the property that the equation Ax = 0 has only the trivial solution. Without using the Invertible Matrix Theorem, explain directly why the equation Ax = b must have a solution for each b in