Basis of skew symmetric matrix

chuy52506 · Jan 30, 2011

Homework Statement

Let W be a 3x3 matrix where A^t(transpose)=-A. Find a basis for W.

Homework Equations

Find a basis for W.

The Attempt at a Solution

I have no idea how to start it.

Phrak · Jan 30, 2011

What is the dimension of A? Count the independent elements.

chuy52506 · Jan 30, 2011

the dimension is 9 correct? I don't know how to express the basis though.

Phrak · Jan 30, 2011

9 is the dimension of an arbitrary 3x3 matrix. Under the constraint A^T = -A you have fewer independent elements. Can you identify which elements are dependent upon or equal to one another?

Basis of skew symmetric matrix

Homework Statement

Homework Equations

The Attempt at a Solution

Discussion

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