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added suggested gauss elimination

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rcc02007 committed Feb 21, 2017
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# 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.

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