Module 5: Determinants & Module 6: Space Vector Theory

det(A)

Computes the determinant of a square matrix A.

inv(A)

Computes the inverse of a square matrix A.

A^-1

Operator syntax for computing the inverse of A

A = [v1 v2 v3]

Forms a matrix where v1, v2, v3 are column vectors.

rref(A)

Primary tool for testing independence, finding rank, and solving systems.

rref([A v])

Tests spanning; checks if the system Ax = v is consistent.

rank(A)

Directly computes the rank of matrix A.

reshape(...)

Utility function to rearrange matrices, often used to turn them into column vectors.