- #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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