In the following system presented as an augmented matrix:
The book says the following:
1.If [MATH]a \neq 0[/MATH] and [MATH]b \neq 3[/MATH], the system is possible and determined.
2.If [MATH]a = 0[/MATH] and [MATH]b \in R[/MATH] the system is impossible.
3.If [MATH]a = 1[/MATH] and [MATH]b = 3[/MATH] the system is possible undetermined.
4.If [MATH]a \neq 0[/MATH] and [MATH]a \neq 1[/MATH] and [MATH]b = 3[/MATH] the system is impossible.
Point 1 is easy to understand, but points 2 trough 4 I don't fully understand.
Could some one help me out?
The book says the following:
1.If [MATH]a \neq 0[/MATH] and [MATH]b \neq 3[/MATH], the system is possible and determined.
2.If [MATH]a = 0[/MATH] and [MATH]b \in R[/MATH] the system is impossible.
3.If [MATH]a = 1[/MATH] and [MATH]b = 3[/MATH] the system is possible undetermined.
4.If [MATH]a \neq 0[/MATH] and [MATH]a \neq 1[/MATH] and [MATH]b = 3[/MATH] the system is impossible.
Point 1 is easy to understand, but points 2 trough 4 I don't fully understand.
Could some one help me out?