Let A be an n x n matrix overa field F. Show that an eigen value of A is a root of the minimal polynomial of A. Conversely showthat every root of the minimal polynomial of A is an eigen valueof A.(P.U. 2017)

Let A be an n x n matrix overa field F. Show that an eigen value of

1.	Let A be an n x n matrix overa field F. Show that an eigen value of A is a root of the minimal polynomial of A. Conversely showthat every root of the minimal polynomial of A is an eigen valueof A.(P.U. 2017)
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Let A be an n x n matrix overa field F. Show that an eigen value of A is a root of the minimal polynomial of A. Conversely showthat every root of the minimal polynomial of A is an eigen valueof A.(P.U. 2017)​

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Let A be an n x n matrix overa field F. Show that an eigen value of A is a root of the minimal polynomial of A. Conversely showthat every root of the minimal polynomial of A is an eigen valueof A.(P.U. 2017)