True or False.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 49EQ
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Determine whether the statement is True or False. If it is true, explain why. If it is false,
explain why or give an example that disproves the statement. (Choose Six only)
1) The curve < 0 , 2t , –3t > is a line that passes through the origin .
2) The Matrix [a;jl.v is a column matrix if i = 1 and m = a.
3) For any vectors U and V in space, (UxV). U = 1.
4) A scalar matrix can be a rectangular matrix ?
5) If A and B are the symmetric matrices, then AB = A'B* .
6) The vector < 2,-1,3> is parallel to plane 6z = 2y – 4x + 10.
7) If || P(t) ||= 1 for all values of t, then || F" (t) || is constant .
Transcribed Image Text:Determine whether the statement is True or False. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. (Choose Six only) 1) The curve < 0 , 2t , –3t > is a line that passes through the origin . 2) The Matrix [a;jl.v is a column matrix if i = 1 and m = a. 3) For any vectors U and V in space, (UxV). U = 1. 4) A scalar matrix can be a rectangular matrix ? 5) If A and B are the symmetric matrices, then AB = A'B* . 6) The vector < 2,-1,3> is parallel to plane 6z = 2y – 4x + 10. 7) If || P(t) ||= 1 for all values of t, then || F" (t) || is constant .
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