- #1
DanielFaraday
- 87
- 0
Homework Statement
Write the standard matrix representation for T1 and use it to find [T1(1,-3,0)]E.
Homework Equations
[tex]
T_1\left(x_1,x_2,x_3\right)=\left(x_3,-x_1,x_3\right)
[/tex]
The Attempt at a Solution
I just wanted to check to see if I am doing this right. Thanks in advance!
[tex]
A=\left(
\begin{array}{ccc}
0 & 0 & 1 \\
-1 & 0 & 0 \\
0 & 0 & 1
\end{array}
\right)\
[/tex]
[tex]
\left[T_1(1,-3,0)\right]_E=A\left(
\begin{array}{c}
1 \\
-3 \\
0
\end{array}
\right)=\left(
\begin{array}{ccc}
0 & 0 & 1 \\
-1 & 0 & 0 \\
0 & 0 & 1
\end{array}
\right).\left(
\begin{array}{c}
1 \\
-3 \\
0
\end{array}
\right)=\left(
\begin{array}{c}
0 \\
-1 \\
0
\end{array}
\right)
[/tex]