Question: B is 3 by 3 matrix with eigenvalues 0, 1, 2. a) what the rank of B? b) The determinant of B T B c)

B is 3 by 3 matrix with eigenvalues 0, 1, 2.

a) what the rank of B?

b) The determinant of BTB

c) The eigenvalues of (B+I)1

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