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Linear Algebra

Notes
2
2. Let F be a field and let f be the linear functional on F defined by f x x ax bx . For
,
1 2 1 2
'
,
each of the following operations T, let g T f and find g x x 2
1
x
(a) T ( ,x 2 ) x 2 ,x 1 ;
1
(b) T ( ,x 2 ) x 1 x 2 ,x 1 x 2 .
x
1
11.6 Further Readings

Books Kenneth Hoffman and Ray Kunze, Linear Algebra
I N Herstein, Topics in Algebra.

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