Suppose that A is a 12 imes 12 matrix and that, for some vector b, the equation
Ax=b has a unique solution.
a. What can you say about the pivot positions of A ?
b. What can you say about the span of the columns of A ?
c. If c is some other vector in R^(12), what can you conclude about the
equation Ax=c ?
d. What can you about the solution space to the equation Ax=0 ?
9. Suppose that A is a 12 x 12 matrix and that, for some vector b, the equation Ax = b has a unique solution.
a. What can you say about the pivot positions of A?
b. What can you say about the span of the columns of A?
C. If c is some other vector in IR12, what can you conclude about the equation Ax = c?
d. What can you about the solution space to the equation Ax = 0?