- #1
Theofilius
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Homework Statement
V is vector space of all antisimetric 3x3 matrices. Find the coordinates of the matrix
[tex]A= [/tex][tex]
\left| \begin{array}{ccc}
\ 0 & 1 & -2 \\
-1 & 0 & -3 \\
2 & 3 & 0 \end{array} \right|\] [/tex]
relative to the base
[tex]E_1=[/tex] [tex]
\left| \begin{array}{ccc}
\ 0 & 1 & 1 \\
-1 & 0 & 0 \\
-1 & 0 & 0 \end{array} \right|\]
[/tex]
[tex]E_2= [/tex][tex]
\left| \begin{array}{ccc}
\ 0 & 0 & 1 \\
0 & 0 & 1 \\
-1 & -1 & 0 \end{array} \right|\]
[/tex]
[tex]E_3= [/tex][tex]
\left| \begin{array}{ccc}
\ 0 & -1 & 0 \\
1 & 0 & -1 \\
0 & 1 & 0 \end{array} \right|\]
[/tex]
Homework Equations
none
The Attempt at a Solution
I know to solve just linear map, don't know how to solve this. Please help! Thank you.