Concern the (real) Schur factorization of an n x n matrix A in the form A URU T , where U is an orthogonal matrix and R is an n x n upper triangular matrix 1 a Let A be an n x n diagonalizable matrix such that A PDP 1 for some invertible matrix P and some diagonal matrix D Show that P admits a QR f...

Concern the (real) Schur factorization of an n x n matrix A in the form A =

Question:

Concern the (real) Schur factorization of an n x n matrix A in the form A = URU^T, where U is an orthogonal matrix and R is an n x n upper triangular matrix.¹

a. Let A be an n x n diagonalizable matrix such that A = PDP^–1 for some invertible matrix P and some diagonal matrix D. Show that P admits a QR factorization and use this factorization to find a (real) Schur factorization of A.

b. Find a (real) Schur factorization for