If `A= [[3,2,2],[2,4,1],[-2,-4,-1]] ` and X,Y are two non-zero
column vectors such that `AX=lambda X, AY=muY , lambdanemu, ` find
angle between X and Y.

Explanation

To find the angle between the vectors \(X\) and \(Y\) given the matrix \(A\) and the equations \(AX = \lambda X\) and \(AY = \mu Y\) with \(\lambda \neq \mu\), we can follow these steps:

### Step 1: Write the equations in matrix form
We have:
\[ AX = \lambda X \implies AX - \lambda X = 0 \implies (A - \lambda I)X = 0 \]
\[
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