Linear Algebra

Pseudoinverse (Moore-Penrose A⁺)

Compute the Moore-Penrose pseudoinverse A⁺ for 2×2 and 3×2 matrices via the formula A⁺ = (AᵀA)⁻¹Aᵀ for full column-rank matrices.

Inputs
Matrix A
A⁺ (Pseudoinverse)
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Verification: A⁺A ≈ I (or AA⁺A ≈ A)
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Max Entry Magnitude: A vs A⁺ vs A⁺A

Step-by-Step Work