Question

Find a basis that represent a linear transformation in sqew symmetric form

Answer 1

Step-by-step explanation:

I'm trying to find a basis for the kernel for the following mapping: Considering the linear transformation T: M33→M33 defined by T(A)=.5(A+AT). I know that this is basically asking for the basis under the condition that T(A)=0 which means that A+AT=0 so AT=−A. I found that matrices that fit this condition are Skew Symmetric Matrices. However, I'm not sure how to find the basis for the kernel of these matrices.