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Math Foundations
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Linear Algebra
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Matrix inversion intuition
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318.
Geometric Meaning of Matrix Inverse
easy
What does the matrix inverse represent geometrically?
A
The transformation that transposes the rows and columns of A — equivalent to reflecting across the diagonal
B
The transformation that reverses the effect of A — if A rotates and scales, A⁻¹ reverses those exact operations
C
The transformation that projects vectors onto the column space of A — recovering the best approximation
D
The transformation that normalizes the columns of A to unit length — restoring orthonormality
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