Lesson 9: Matrix functions

Much of MATLAB's power comes from its matrix functions. The most useful ones are:
	eig		eigenvalues and eigenvectors
	chol		cholesky factorization
	svd		singular value decomposition
	inv		inverse
	lu		LU factorization
	qr		QR factorization
	hess		hessenberg form
	schur		schur decomposition
	rref		reduced row echelon form
	expm		matrix exponential
	sqrtm		matrix square root
	poly		characteristic polynomial
	det		determinant
	size		size
	norm		1-norm, 2-norm, F-norm, infinity-norm
	cond		condition number in the 2-norm
	rank		rank

MATLAB functions may have single or multiple output arguments. For example,

y = eig(A), or simply eig(A)
produces a column vector containing the eigenvalues of A while
[U,D] = eig(A)
produces a matrix U whose columns are the eigenvectors of A and a diagonal matrix D with the eigenvalues of A on its diagonal. Try it!