I cant figure this out to save my life A 3 by 3 matrix B is

I can\'t figure this out to save my life.

A 3 by 3 matrix B is known to have eigenvalues 0, 1, 2. This information is enough to find three of these (give the answers where possible)

(a) the rank of B
(b) the determinant of BTB
(c) the eigenvalues of BTB
(d) the eigenvalues of (B2 + I)1.

$I can\'t figure this out to save my life. A 3 by 3 matrix B is known to have eigenvalues 0, 1, 2. This information is enough to find three of these (give the an$

I cant figure this out to save my life A 3 by 3 matrix B is

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