For linear equations, matrix equations {characteristic equation, matrix} can set matrix determinant minus x times unit-matrix determinant equal to zero-matrix determinant: |M| - x * |1| = |0|. Solving for x gives equation roots.
Characteristic-equation-root sums {trace, matrix} can be matrix parameters. Unitary matrices have invariant traces {character function} {group character} {character, matrix} that characterize the mathematical group that the matrix represents.
Coefficient-matrix A and solution-matrix X product can have a factor {lambda} {characteristic value}: A*X = lambda * X.
3-Algebra-Equation-System-Matrix
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Date Modified: 2022.0225