Determinant10 exercisesThe determinant of a square matrix is a number that measures how much the linear transformation it defines scales volumes.
Cofactor and Laplace expansion10 exercisesThe minor M of an entry is the determinant of the submatrix left after deleting its row and column; the cofactor C is that minor…
Properties of the determinant10 exercisesThe properties of the determinant describe how det A changes under elementary row operations and how it behaves with the product…
Cramer's rule10 exercisesCramer's rule gives the unique solution of a square system, whose coefficient matrix A has nonzero determinant, as a quotient of…