There is a formula that can be used to find the inverse of a 2 by 2
matrix. Look at A and A-1 for several 2 by 2 matrices or perform
Gauss-Jordan elimination on an augmented matrix formed from a general 2 by 2
matrix to find this formula.
Does a non-square matrix have an inverse?
An upper triangular matrix was described in the chapter. Describe and
give an example of a lower triangular matrix.
Is
(A-1)T = (AT)-1?
Extension Questions
Is
x = AL-1b always a solution to Ax = b? You will probably need
to read the answer to the second question before answering this one.
Is
x = AL-1b the only solution to Ax = b when there is a solution?
