Math 51 Final Exam Review Solutions
نویسنده
چکیده
Recall some basic facts about eigenspaces — we say that Eα is an eigenspace of a matrixM of dimension d if the dimension of the nullspace of αI −M has dimension d. Moreover, by the theory covered in class, we must have that the polynomial (λ− α) divides the characteristic polynomial of M , which is defined to be det(λI −M). We first calculate the eigenspaces of Bn. Observe that if α = 1, then we get the matrix
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