Department of Mathematics
Fall 2013, MATH 450
Colorado State University
Homework Assignment II
Due Sep 30, 2013
1. Prove that the product of two upper triangular matrices is also an upper triangular matrix, and the product
of two lower triangular matrices
Department of Mathematics
Fall 2013, MATH 450
Colorado State University
Homework Assignment V
Due Dec 11, 2013
1. Suppose there are n + 1 distinct data points (xi , yi ), 0 i n. Prove that there are innitely many
polynomials interpolating these n + 1 poin
Department of Mathematics
Fall 2013, MATH 450
Colorado State University
Homework Assignment IV
Due Nov 4, 2013
1. Show that a norm dened on Rn must involve all components of a vector in some way. (Hint: Suppose a
component is not involved in the norm, and
Department of Mathematics
Fall 2013, MATH 450
Colorado State University
Homework Assignment III
Due Oct 9, 2013
1. Assume that the upper triangular matrix U in the LU factorization of a matrix A is known. Write the
pseudo-code for calculating the lower tr
Department of Mathematics
Fall 2013, MATH 450
Colorado State University
Homework Assignment I
Due Sep 9, 2013
1. Derive the Taylor series at 0 for the function f (x) = ln(x + 1). Write this series in summation notation.
Give two expressions for the remind