minimal polynomial sentence in Hindi

Examples

1. Where the minimal polynomial is identical to the characteristic polynomial, the Frobenius normal form is the companion matrix of the characteristic polynomial.
2. There is a unique monic polynomial of minimal degree which annihilates " A "; this polynomial is the minimal polynomial.
3. Any polynomial which annihilates " A " ( such as the characteristic polynomial ) is a multiple of the minimal polynomial.
4. *PM : examples of minimal polynomials, id = 9184 new !-- WP guess : examples of minimal polynomials-- Status:
5. *PM : examples of minimal polynomials, id = 9184 new !-- WP guess : examples of minimal polynomials-- Status:
6. *PM : existence of the minimal polynomial, id = 4723-- WP guess : existence of the minimal polynomial-- Status:
7. *PM : existence of the minimal polynomial, id = 4723-- WP guess : existence of the minimal polynomial-- Status:
8. If \ varphi is not injective, let " p " ( X ) be a generator of its minimal polynomial of ?.
9. This statement is equivalent to saying that the minimal polynomial of " A " divides the characteristic polynomial of " A ".
10. Similarly ( 6, 15, 40 ) gives a matrix of which also has rank 3 when the degree of the minimal polynomial is 4.