6.1 Consistent and Inconsistent Systems - Problems
Classify these systems as either consistent or
inconsistent. If the system is consistent, further categorize it as
underdetermined or uniquely determined. Explain why the system fits into
that category. Also, explain what this means graphically for each system.
2x1 + 3x2 = 9 and
3x1 + 4x2 = 13
3x1 + 4x2 = 7 and
9x1 + 12x2 = 21
2x1 + 3x2 = 8 and
3x1 + 4x2 = 11
Ax = b where
and
Ax = b where
and
Ax = b where
and
Ax = b where
and
Which of the matrices in problem 1 are invertible?
x2 = 13
and
and
and
and
