gauss_suggested.md

# Linear Algebra Review 
## (Gauss Elimination) Suggested problems
### No due date

1. Solve for x when Ax=b for the following problems:

    a. $A=\left[ \begin{array}{cc}
        1 & 3 \\
        2 & 1 \end{array} \right]
        b=
        \left[\begin{array}{c} 
        1 \\
        1\end{array}\right]$

    a. $A=\left[ \begin{array}{cc}
        1 & 1 \\
        2 & 3 \end{array} \right]
        b=
        \left[\begin{array}{c} 
        3 \\
        4\end{array}\right]$

    a. $A=\left[ \begin{array}{cc}
        1 & 1 \\
        2 & -2 \end{array} \right]
        b=
        \left[\begin{array}{c} 
        4 \\
        2\end{array}\right]$

    b. $A=\left[ \begin{array}{ccc}
        1 & 3 & 1 \\
        -4 & -9 & 2 \\
        0 & 3 & 6\end{array} \right]
        b=
        \left[\begin{array}{c} 
        0 \\
        0 \\
        0\end{array}\right]$

    c. $A=\left[ \begin{array}{ccc}
        1 & 3 & 1 \\
        -4 & -9 & 2 \\
        0 & 3 & 6\end{array} \right]
        b=
        \left[\begin{array}{c} 
        1 \\
        -1 \\
        -3\end{array}\right]$

    d. $A=\left[ \begin{array}{ccc}
        1 & 3 & -5 \\
        1 & 4 & -8 \\
        -3 & -7 & 9\end{array} \right]
        b=
        \left[\begin{array}{c} 
        1 \\
        -1 \\
        -3\end{array}\right]$

    d. $A=\left[ \begin{array}{ccc}
        1 & 2 & -1 \\
        2 & 2 & 2 \\
        1 & -1 & 2\end{array} \right]
        b=
        \left[\begin{array}{c} 
        2 \\
        12 \\
        5\end{array}\right]$

2. Calculate the determinant of A from 1a-g.