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Rank
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659.
Rank and Invertibility
easy
A square matrix A is invertible if and only if what condition on its rank holds?
A
Its rank equals n-1 — exactly one row is a linear combination of the others
B
Its rank equals 0 — the matrix maps all vectors to the zero vector
C
Its rank equals n — all n rows and columns are linearly independent
D
Its rank equals 1 — exactly one independent direction spans the column space
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