Linear Algebra : Wronskian - Compute the Wronskian of the given set of functions, then determine whether the function is linearly dependent or linearly independent: x^2 - x, x^2 + x, x^2, all x
Prove Abel's formula for the Wronskian. - Prove Abel's formula for the Wronskian.
Hint: First show that the derivative of a p by p determinant is the sum of p determinants, each of which has only one row differentiated.
Linear Algebra : Wronskian - Compute the Wronskian of the given set of functions, then determine whether the function is linearly dependent or linearly independent: cos ax, sin ax, a 0, x in any interval