Question Let γ be the real root of a polynomial equation of degree 9 with integer coefficients. Construct the matrix With this information, is it possible to i)

Question Prove that if A is a square matrix of size , then as if and only if Solution Norm is a value that indicates the magnitude of a matrix.

Question Given the following matrix where c and r are arbitrary real numbers and 5.5 < r ≤ 6.5, and the fact that = 3 is one of

A professor teaching linear algebra starts with a square matrix G whose QR decomposition is given by . He then defines matrices which has a QR decomposition of the form

Question Investigate the nature of critical points for the given functions: a) b) Solution ================================================================================================== a) Step-1: Find critical points: Thus, (2,

Question Let P be a real square matrix satisfying and . i) Can the matrix P have complex eigenvalues? If so, construct an example, else, justify your answer. ii) What