(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let A be the matrix with eigenvalues x1 = 2, x2 = 1, x3 = 1/2 , x4 = 10

and corresponding eigenvectors v1: <1,-1,1,0>, v2: <1,-1,0,0>, v3: <1,0,0,1>, v4: <0,0,1,1>

Calculate |A|

2. Relevant equations

See above

3. The attempt at a solution

I'm not really sure how to start this problem but i know that:

For nxn matrices X, Y , Z

|XYZ| = |X| |Y| |Z| and |X^ (-1)|= 1 / |X|

Maybe I could use this to solve the problem?

Any input or suggestions about how to start this problem would be helpful!

Thanks!:)

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# Finding the Determinant

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