Consider the following three vectors a in R' and the matrix [a b A = d e f [g h i whose columns are the given three vectors. 1. True or False. If you tell me that b + 2 +3 h then this is enough information to figure out det A. 2. True or False. If you tell me that h is an orthogonal set, then this is enough information to find the first row second entry of the matrix AT A. 3. True or False. If you tell me that is an orthonormal set, then this is enough information to determine AT A completely.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I know according to guidedlines u have to do ist 3 parts of this question But please for me do all 4 parts I request u
Consider the following three vectors
in R' and the matrix
a
A = d e
L9
whose columns are the given three vectors.
1. True or False. If you tell me that
+2
+3
then this is enough information to figure out det A.
2. True or False. If you tell me that
個印
is an orthogonal set, then this is enough information to find the first row second entry of
the matrix AT A.
3. True or False. If you tell me that
is an orthonormal set, then this is enough information to determine AT A completely.
4. True or False. If you tell me that
is an orthonormal set and that det. A # 1, then this is enough information to find det A.
Transcribed Image Text:Consider the following three vectors in R' and the matrix a A = d e L9 whose columns are the given three vectors. 1. True or False. If you tell me that +2 +3 then this is enough information to figure out det A. 2. True or False. If you tell me that 個印 is an orthogonal set, then this is enough information to find the first row second entry of the matrix AT A. 3. True or False. If you tell me that is an orthonormal set, then this is enough information to determine AT A completely. 4. True or False. If you tell me that is an orthonormal set and that det. A # 1, then this is enough information to find det A.
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