Hi! I'm in serious need of some help.(adsbygoogle = window.adsbygoogle || []).push({});

I am supposed to show that a transformation [tex]\mathcal{A} = \mathbb{R}^n \rightarrow \mathbb{R}^m[/tex] can be separated into [tex]\mathcal{A} = i \circ \mathcal{B} \circ p[/tex] where

[tex]p[/tex] is the projection on the (orthogonal) complement of the kernel of [tex]\mathcal{A}[/tex].

[tex]\mathcal{B}[/tex] is an invertible transformation from the complement to the kernel to the image of [tex]\mathcal{A}[/tex].

[tex]i[/tex] is the inclusion of the image in [tex]\mathbb{R}^n[/tex]

I hardly know where to start! I would really like some help. I asked this question before, in a different topic, but got a response I didn't understand. I posted a follow-up, but got no response on that.

Thanks in advance,

Nille

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# Vector Transformation

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