Solving Systems of Equations Using Inverse Matrices and Determinants

Solving Systems with Inverse Matrices

• Problem: Use the inverse of matrix A to solve the given system of equations:
  $-2x + 2y + 3z = 14$
  $x - y = -5$
  $y + 4z = -1$

Finding Determinants of Matrices

• Task: Calculate the determinant of the matrix.