(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

V=Matrix (2x2), T(A) = (0 1 ) A , and W = {A[itex]\epsilon[/itex] V: A[itex]^{}t[/itex] = A

(1 0)

2. Relevant equations

So T(A) transformation, multiplies a 2x2 matix with entries 0 1 1 0 by A with A on the right side

3. The attempt at a solution

I said let A be any arbitrary symmetric matrix, for example a 2x2 matrix with entries

a b b a

(a b)

(b a), this that matrix multiplied on the right of 0 1 1 0, = (b a)

(a b) , also a symmetric matrix, and therefore this matrix is also an element of W, this W is a T-invariant subspace.

but the back of the book does not say it is T-invariant

please point out if i am making a mistake

test tomorrow

thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: T invariant subspace (intro lin alg class undergrad)

**Physics Forums | Science Articles, Homework Help, Discussion**