Overview
Matrix inversion and permutations are fundamental concepts in mathematics, particularly in linear algebra. Matrix inversion allows us to solve systems of linear equations and understand transformations in space. A matrix is invertible if its determinant is non-zero, which is crucial for many applica...
Key Terms
Example: A 2x2 matrix: [[1, 2], [3, 4]]
Example: The 2x2 identity matrix is [[1, 0], [0, 1]].
Example: For matrix [[a, b], [c, d]], the determinant is ad - bc.
Example: The inverse of [[1, 2], [3, 4]] is [[-2, 1], [1.5, -0.5]].
Example: The permutations of {1, 2} are {1, 2} and {2, 1}.
Example: 3! = 3 × 2 × 1 = 6.
Related Topics
Key Concepts
Matrix InversionIdentity MatrixPermutationsDeterminants