The problem statement gives the correct answers for parts (a) and (b). The total number of roots of the characteristic polynomial is the dimension of the matrix: 6. The eigenvalues are the zeros of the characteristic polynomial, 3 (multiplicity 2), 6 (multiplicity 3), and -1.
(c) The matrix is not invertible when one or more eigenvalues is zero. None of yours are zero, so the matrix is invertible.
The answer is the product of 7 and the difference of b and - 2
Answer:
Step-by-step explanation:
Please, use the symbol " ^ " to denote exponentiation:
x^(1/3) * y^(1/6)
In radical form, this would be:
∛x*(6th root of y) (the index of the second root is 6).
Alternatively, you could write:
∛x * √((∛y)).
Let 
. Recall the following identities,
Now,
QED
