Linear Algebra Review
(Gauss Elimination) Suggested problems
No due date
-
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. $A=\left[ \begin{array}{ccc} 1 & 2 & -1 \ 2 & 2 & 2 \ 1 & -1 & 2\end{array} \right] b= \left[\begin{array}{c} 2 \ 12 \ 5\end{array}\right]$
-
Calculate the determinant of A from 1a-g.