(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

i) Find the Image and Kernel of A = (2,1)(-4,-2) (where each bracket is a row).

ii) Calculate A^{2}and use i) to explain your result.

2. Relevant equations

None

3. The attempt at a solution

So I can do everything up to the very last bit (i think anyway).

i) The Kernel = (1,-2) = Image.

ii) A^{2}= 0 but this is where I don't know what to say. How do I use part i) to explain the 0 matrix found?

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# Matrix Image and Kernel

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