I need some help understanding some concepts (long post)
Okay, my professor hasn't been very reliable and my midterm is on thursday so this is the only place where I can get help.
The first concept is solving variable to systems where the variable have unique, no and infinite solutions.
Here's an example:
For which a, b does the following system:
have i) unique solution ii) infinite solutions iii) no solution?
The second concept (two parts) is of linear matrices.
Here are examples:
1) Solve the system:
Now, I know for this question we want to get the matrix to be in reduced echelon form. My question for this is: Is there any specific method I should be using to do this or should I treat it as a puzzle?
2) Write a system of linear equations that has the following matrix as its augmented matrix
( 0 1 0 -1 2 3 7)
(7 3 2 2 1 2 0)
(1 2 -1 0 0 0 0)
(sorry, thats the best I could do to make it pretty)
Any help and links would be greatly appreciated.