Chol-QR

In a Cholesky factorization A = R^TR the matrix R is

• Upper triangular

• Lower triangular

• full

• diagonal

A symmetric positive definite matrix has leading principal submatrices that are

• Symmetric but not positive definite

• Symmetric and positive definite

• Symmetric, positive definite, and orthogonal

Every real m-by-n matrix A has a unique factorization A = QR with Q m-by-m orthogonal and R upper triangular.

• True

• False

A Householder matrix is

• A reflection

• A rotation

• Neither of the above

The only matrix that is both symmetric and orthogonal is the identity matrix.

• True

• False

Which of the following people has not done important work in numerical linear algebra?

• Alan Turing

• Benedict Cumberbatch

• James Wilkinson

• Wallace Givens