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**1. 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]

**2. Homework Equations**

none

**3. The Attempt at a Solution**

I know to solve just linear map, don't know how to solve this. Please help! Thank you.