Matrix Algebra: Systems, Pivots, and Inverses

Four posts on matrix algebra in pure Python: representing matrices as lists of lists with equality/element-wise ops, classifying when a linear system has no solution, why a pivot in every row guarantees consistency, and solving systems via augmented matrices with Gaussian and Gauss-Jordan elimination.

1. Matrices in Python: Rectangular Arrays, Equality, and Element-Wise Operations (Part 3 of 5)
2. When Does a Linear System Have No Solution? (Part 4 of 5)
3. Why a Pivot in Every Row Means Consistency Is Guaranteed (Part 5 of 5)
4. Solving Linear Systems: Augmented Matrices, Gaussian Elimination, and Gauss-Jordan (Part 6 of 5)
5. Isolating Unknown Matrices and Coefficients in Linear Systems (Part 7 of 5)