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Matrix Multiplication question help watch

1. Am I overthinking this massively? Just can't seem to figure out what to do?
Help please asap with the "show further" bit, first bit I've done.
2. This doesn't look right: if you set you get which doesn't equal xV for any choice of x.

What would be true is that if it were the case that XV = xV, then it would follow that x has to satisfy .

Edit: I.e. the end part of the question would need to be worded ",,, and XV = xV then x satisfies the equation..."
3. Do you know how to find eigenvalues and eigenvectors?
4. (Original post by joepiekos)
Am I overthinking this massively? Just can't seem to figure out what to do?
Help please asap with the "show further" bit, first bit I've done.
Write down the product and equate the entries with the product

You should end up with and and now you want to construct a single quadratic in by substituting in for or from one equation into the other.
5. (Original post by DFranklin)
This doesn't look right: if you set you get which doesn't equal xV for any choice of x.

What would be true is that if it were the case that XV = xV, then it would follow that x has to satisfy .

Edit: I.e. the end part of the question would need to be worded ",,, and XV = xV then x satisfies the equation..."
Exactly what I was thinking!
6. (Original post by RDKGames)
Write down the product and equate the entries with the product

You should end up with and and now you want to construct a single quadratic in by substituting in for or from one equation into the other.
I guess I was overthinking then Thanks a lot
7. (Original post by B_9710)
Do you know how to find eigenvalues and eigenvectors?
No I don't sorry

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