• December 10th 2009, 05:06 PM
dannyboycurtis
Let V = $\mathbb{R}^2$ be an inner product space, let T be defined by T(a,b) = (2a-2b,-2a + 5b)
find the associated matrix respect to the standard basis for $\mathbb R^2.$
$T$ is normal if $T\cdot T^*=T^*\cdot T,$ self-adjoint if $T=T^*.$
find $T^*,$ in order to do that, you're gonna have to get the associated matrix, but since we're working on real numbers, $T^*$ is just $T^t.$