 Solution

ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2018/digital-systems-linear-algebra-introduction-to-formal-proof/5/a/i/solution

False. In the real vector space

R

, both

{1}

and

{2}

are bases: each is linearly independent and spans the whole space. A basis need not be a unique set. What is fixed for a finite-dimensional vector space is the number of basis elements, its dimension.

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