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Chol-QR

Authored by Francoise Tisseur

Mathematics

3rd Grade

Used 1+ times

Chol-QR
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6 questions

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1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

In a Cholesky factorization A = RTR the matrix R is

Upper triangular

Lower triangular

full

diagonal

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

A Householder matrix is

A reflection

A rotation

Neither of the above

5.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

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

True

False

6.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

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

Alan Turing

Benedict Cumberbatch

James Wilkinson

Wallace Givens

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