Let L:R^{n }-> R^{m}be linear transformation with matrix A. Show that ker(L) is orthogonal complement of row space of A.

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- May 8th 2013, 03:13 PMOutdoorMonkeyKernel is orthogonal complement
Let L:R

^{n }-> R^{m}be linear transformation with matrix A. Show that ker(L) is orthogonal complement of row space of A. - May 20th 2013, 09:20 AMlevel1807Re: Kernel is orthogonal complement
Suppose . Then means that . If we represent by its rows , hence by its columns: , each row being an n-dimensional vector, and each y as , then , which means that .