Module 39

.docx

School

University of Illinois, Urbana Champaign *

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Course

257

Subject

Mathematics

Date

Apr 3, 2024

Type

docx

Pages

1

Uploaded by CoachGuanaco4012 on coursehero.com

Module 39 Question 1 . . A . L Given a basis for subspace W of R", the Gram-Schmidt process utilizes a sequence of orthogonal projections onto Correct . . increasingly larger subspaces of W. 2.50 points out of 2.50 Select one: ¥ Flag question True v False Review algorithm of Gram-Schmidt process | The correct answer is 'True'. L B Question 2 . i - A . . - Given a basis for subspace W of R™, we may use the Gram-Schmidt process to obtain an orthonormal basis for W. orrect 2.50 points out of 2.50 ¥ Flag question Select one: True v False Review input and outputs to Gram-Schmidt process. The correct answer is 'True'. Question 3 - If square matrix A = has QR-decomposition A = QR with R invertible, then Col(A4) = Col(Q). orre 2.50 points out of 2.50 ¥ Flag question Select one: True v False Under the given hypotheses, both A,Q are invertible n X n matrices. The correct answer is 'True'. Question 4 correct In a QR-decomposition of a square matrix A, both matrices Q, R are square. orre 2.50 points out of 250 ¥ Flag question Select one: True ¥ False Review the form of the QR decomposition. The correct answer is 'True'.
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