Are all triangular systems echelon? If not, write down a triangular system that is not echelon.
Are all echelon systems triangular? If not, write down a echelon system that is not triangular.
Find all solutions to the linear sytem of equations given by Example 3 in Section 1.2 in the book. If you’re tired of solving linear systems, just look up the answer in the book.
Explicitly write down 2 solutions. In other words, write down 2 points with actual numbers that solve the linear system.
Find all solutions the homogenous linear system given by This is pretty much the same linear system but with the right hand side replaced by zeros.
Call the 2 solutions you found earlier a and b. Does a − b solve the homogenous linear system? The answer should be yes. Can you explain why?