Eigenvalue, Eigenvectors, Linear Algebra, Mathematics, Principal Component.
this equation must have some non-null solution v. However, this only occurs if, and only if, the matrix of coefficients λId - A has a null determinant. Therefore, we have the following result: If A is a n x n matrix, then λ is an eigenvalue of A if, and only if, λ satisfies the equation det(λId -