= {u₁, U2,. 11. Let S un} be a linearly independent subset of a vector space V over the field Z₂. How many vectors are there in span(S)? Justify your answer.
= {u₁, U2,. 11. Let S un} be a linearly independent subset of a vector space V over the field Z₂. How many vectors are there in span(S)? Justify your answer.
= {u₁, U2,. 11. Let S un} be a linearly independent subset of a vector space V over the field Z₂. How many vectors are there in span(S)? Justify your answer.
Transcribed Image Text:11. Let S = {U₁, U2,.
9
un} be a linearly independent subset of a vector
space V over the field Z2. How many vectors are there in span(S)?
Justify your answer.
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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