Linear Algebra

We use Gaussian elimination to solve the system of linear equations. The augmented matrix for this system leads to an under-determined system, indicating infinitely many solutions. This system has dependent equations, meaning we have more variables than independent equations

To solve for the eigenvalues of the matrix, we need to calculate the characteristic equation , where is the given matrix and represents the eigenvalues. Solving the resulting cubic equation gives us the eigenvalues as , , and .