I'm studying for a test and I got stuck here.(adsbygoogle = window.adsbygoogle || []).push({});

Let A be the matrix:

3..1

2..1

In each part find p(a).

a) p(x)=x-2

The answer is:

1..1

2..-1

The only way I can see this happen is that we take the numbers on the diagonal and pluck it in p(x).

So...

x-2=3-2=1

x-2=1-2=-1

Leaving the others alone, we get.

1..1

2..-1

The problem is, I know this is WRONG. This method does not work for b) and c), which are polynomials of higher degrees.

The inverse is:

1..-1

-2..3

I still can see a solution pattern.

I tried to relate to the chapter, but no luck.

Any help is appreciated.

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# Matrix Question

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