a () - () - () - ()- () - G) - () - () 6. d. 6. 9. 6. = 1024 6 4 7 7 + 1 7 7 + = 1024 е. 3 7

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 11AEXP
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Answer letter D and E only.

The following statements are all false. Do not simply negate the statement. Give a counterexample
or a proper reasoning to emphasize its falsity.
а. xеZ, 5x2 + 1 < 6.
b. Э! х€ Z s.t. бх? — х — 1 — 0.
с. 12х + 18у
= 40 has integral solutions.
() - ()-()-)
() - ) - () -)
6.
d.
6.
+
+
6.
= 1024
6.
б
%3D
4
7
+
3
7
+
7
е.
= 1024
%3D
1
5
Transcribed Image Text:The following statements are all false. Do not simply negate the statement. Give a counterexample or a proper reasoning to emphasize its falsity. а. xеZ, 5x2 + 1 < 6. b. Э! х€ Z s.t. бх? — х — 1 — 0. с. 12х + 18у = 40 has integral solutions. () - ()-()-) () - ) - () -) 6. d. 6. + + 6. = 1024 6. б %3D 4 7 + 3 7 + 7 е. = 1024 %3D 1 5
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