Question: Need help with this. Let B 6 CW. Show that if there exists a vector 1) so that 12, B1), . . . , B_1v

Need help with this.

Need help with this. Let B 6 CW". Show that if there

Let B 6 CW". Show that if there exists a vector 1) so that 12, B1), . . . , B\"_1v are linearly independent, then the characteristic polynomial of B equals the minimal polynomial of B. (Note: use 5' = (1} Bi) . . . Bn'lv) as a similarity matrix. Also, note a companion matrix is nonderogatory.)

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