3. An n x m matrix A is called skew-symmetric if AT = -A. In particular for 2 x 2 matrices, skey -symmetric matrices are given by: s={[ ]: ac } Let T: L+S be the transformation from the space of 2 x 2 upper triangular matrices to skew-symmetric matrices given by: -a Іь TO (a) Show that S is a subspace of all 2 x 2 matrices. (b) Show that I is a linear transformation. (c) What is the kernel of T?
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