Apprentice Linear Algebra , 3 rd day , 07 / 06 / 05 REU 2005 Instructor : László Babai
نویسنده
چکیده
Regarding the entire discussion of vector spaces and their properties, we may replace R by any field F , and define vector space “over F” for which F is the domain of scalars. Note that it only makes sense to consider linear maps between vector spaces over the same field. We are already familiar with the field of real numbers R, but also with rational numbers Q, complex numbers C, and the finite fields Fp (integers mod p) for primes p. Example 3.3. Fp is a vector space over Fp with pn elements.
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Apprentice Linear Algebra , 4 th lecture , 07 / 08 / 05 REU 2005 Instructor : László Babai Scribe :
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