 Solution

ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2016/digital-systems-linear-algebra-introduction-to-formal-proof-resit/6/a/solution

For an

m \times n

matrix, its row space is the span of its rows, a subspace of

R^{n}

; its column space is the span of its columns, a subspace of

R^{m}

ker A = {x \in R^{n} : A x = 0}

dim ker A = n - rank A

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