Let A be a m X n matrix with QR factorization of A = QR such that Q = [u₁ us], 0000 R = 0 4₂ U3 U4 5 2 2 3 00 0 0 1 2 8 0 0 0 3 20 0 1 (so each u, is a mx 1 column). PART A: Determine all possible value(s) for m, n, and rank(A). PART B: Suppose that A is a square matrix. Determine all possible value(s) for det(A).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let A be a m X n matrix with QR factorization of A = QR such that
Q = [u₁
0000
R = 0
4₂ U3
S
5 2
2 3
00
0 0
1 2
8
0 0 0 3
20
U4 us],
0 1
(so each u, is a mx 1 column).
PART A: Determine all possible value(s) for m, n, and rank(A).
PART B: Suppose that A is a square matrix. Determine all possible value(s) for det(A).
Transcribed Image Text:Let A be a m X n matrix with QR factorization of A = QR such that Q = [u₁ 0000 R = 0 4₂ U3 S 5 2 2 3 00 0 0 1 2 8 0 0 0 3 20 U4 us], 0 1 (so each u, is a mx 1 column). PART A: Determine all possible value(s) for m, n, and rank(A). PART B: Suppose that A is a square matrix. Determine all possible value(s) for det(A).
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