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Math Foundations
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Linear Algebra
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Matrix inversion intuition
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403.
Invertibility Condition
easy
Which of the following is a necessary condition for a square matrix to be invertible?
A
Its diagonal entries must all be nonzero — any zero on the diagonal prevents inversion in the matrix structure
B
Its determinant must be nonzero — a zero determinant indicates a singular, non-invertible matrix
C
Its rows must all have the same length — unequal row norms prevent the inverse from existing
D
Its eigenvalues must all be positive — negative eigenvalues cause the inverse to be undefined
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