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Math Foundations
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Linear Algebra
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Rank
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305.
Full Rank Definition
easy
A matrix is said to have full rank. What does this mean?
A
Its rank equals the smaller of its number of rows and columns — no row or column is a linear combination of the others
B
Its rank equals zero — all rows and columns are zero vectors with no linear independence
C
Its rank equals the larger of its number of rows and columns — all rows and columns are independent simultaneously
D
Its rank equals the number of nonzero eigenvalues regardless of the matrix dimensions
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