- #1

chill_factor

- 901

- 5

## Homework Statement

Let there be 3 vectors that span a space: { |a>, |b>, |c> } and let n be a complex number.

If the operator A has the properties:

A|a> = n|b>

A|b> = 3|a>

A|c> = (4i+7)|c>

What is A in terms of a square matrix?

## Homework Equations

det(A-Iλ)=0

## The Attempt at a Solution

I don't even know how to start. Can someone give me a starting hint?