linear algebra
4 homework questions in linear algebra, cover the following :
• Find the determinant of a given 2 x 2 or 3 x 3 matrix by means of pneumonic shortcuts
• Calculate the determinant of a given square matrix by using elementary row operations to reduce it to upper triangular form
• Find the inverse of a nonsingular matrix by using the determinant and the classical adjoint method
• Solve a given linear system by Cramer’s rule when this rule is applicable
