rank of 4x4 matrix f(A) is

Question

Let f(x) be the minimal polynomial of the 4x4 matrix A equal to

0 0 0 1
1 0 0 0
0 1 0 0
0 0 1 0

Then rank of the 4x4 matrix f(A) is

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Would you please edit the question to include the definition of minimal polynomial of a matrix (so that you too may see the tautology)? — , Aug 30 '16 at 07:36
Going a little step further in Sassatelli's comment's direction: what the minimal, and the characteristic, polynomial do to the matrix is a matrix equality . — DonAntonio, Aug 30 '16 at 08:42

score 0 · Accepted Answer · answered Aug 30 '16 at 08:13

0

From definition of minimal polynomial, we have

$$f(A)=0$$.

Are you able to compute its rank?

answered Aug 30 '16 at 08:13

Siong Thye Goh

1 Answers1