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matrix
A[e1,e2,...,eN] - Coggle Diagram
matrix
A[e1,e2,...,eN]
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Projection Matrix
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Ax = b
b not in colspace(Ax) -> no solution
closest vector to b is b's projection on colspace(Ax)
get x when Ax = b-proj onto colspace(Ax)
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Rank
rank(A+B)≤rank(A)+rank(B)
rank(A+B)≥max(rank(A),rank(B))−min(rank(A),rank(B))
A MxN, B MxN
rank(A+B) <= min(M, N, rank(A)+rank(B))
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