- #1

SYoungblood

- 64

- 1

## Homework Statement

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Hello all, thank you in advance for your help. Please let me know if this is the wrong forum.

My problem:

Let x

*= a + b√2*and let y= the 2 x 2 matrix {a 2b}{b a}.

Show that x maps to y.

## Homework Equations

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As I see it, for multiplication, this is pretty straightforward, a 1 x 2 matrix times a 2 x 2 matrix, will yield a 1 x 2 matrix. But for addition, a required answer, how can we map a + b*sqrt(2) to turn it into the above matrix?

## The Attempt at a Solution

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Aside from teeth gnashing and f-bombs, I really don't have much to offer here. By no means am I asking for an answer, but a hint above what I am finding online would be greatly appreciated.

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