(b) Let v, 2,... , vn be a basis of a vector space V. Suppose f: V -> V is a lincar map so that Vi -1 if 1

(b) Let v, 2,... , vn be a basis of a vector space V. Suppose f: V -> V is a lincar map<br>so that<br>Vi -1 if 1 < i < m,<br>f(v)<br>if m<br>< in<br>where 1m < n and vo = 0.<br>(b.1) Find the matrix and the characteristic polynomial of f.<br>(b.2) Find a basis for the eigenspace of A = 1.<br>1)m is the minimal polynomial of f<br>(b.3) Show that (X<br>

Extracted text: (b) Let v, 2,... , vn be a basis of a vector space V. Suppose f: V -> V is a lincar map so that Vi -1 if 1 < i="">< m,="" f(v)="" if="" m="">< in="" where="" 1m="">< n="" and="" vo="0." (b.1)="" find="" the="" matrix="" and="" the="" characteristic="" polynomial="" of="" f.="" (b.2)="" find="" a="" basis="" for="" the="" eigenspace="" of="" a="1." 1)m="" is="" the="" minimal="" polynomial="" of="" f="" (b.3)="" show="" that="">

Jun 04, 2022

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(b) Let v, 2,... , vn be a basis of a vector space V. Suppose f: V -> V is a lincar map so that Vi -1 if 1

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