Negative marking applies. Consider the linear operator Pin a 3 dimensional linear vector space with basis functions (). P has the following action on the basis function: Pê, ê. Pêsê, and Pe Which of the following is the matrix from of P? OP OP OP [010] 001 00 0 100 Loo 10 01 0 0 100 Now select which of the following statements must be true: OP-I, where I is the identity matrix. OP³ès-é OP³ės - ēs. ²ė, -és □p³ès - Pès-és- OP³ė, -és- ope - I, where I is the identity matrix and is a positive integer. Op³ - I, where I is the identity matrix. OP'è - I, where I is the identity matrix and is a positive integer.
Negative marking applies. Consider the linear operator Pin a 3 dimensional linear vector space with basis functions (). P has the following action on the basis function: Pê, ê. Pêsê, and Pe Which of the following is the matrix from of P? OP OP OP [010] 001 00 0 100 Loo 10 01 0 0 100 Now select which of the following statements must be true: OP-I, where I is the identity matrix. OP³ès-é OP³ės - ēs. ²ė, -és □p³ès - Pès-és- OP³ė, -és- ope - I, where I is the identity matrix and is a positive integer. Op³ - I, where I is the identity matrix. OP'è - I, where I is the identity matrix and is a positive integer.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 17EQ
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Consider the linear operator P^P^ in a 3 dimensional linear
Which of the following is the matrix from of P^P^?
![Negative marking applies.
Consider the linear operator Pin a 3 dimensional linear vector space with basis functions (). P has the following action on the basis function:
Pê, ê. Pêsê, and Pe
Which of the following is the matrix from of P?
OP
OP
OP
[010]
001
00
0
100
Loo
10
01 0
0
100
Now select which of the following statements must be true:
OP-I, where I is the identity matrix.
OP³ès-é
OP³ės - ēs.
²ė, -és
□p³ès - Pès-és-
OP³ė, -és-
ope
- I, where I is the identity matrix and is a positive integer.
Op³ - I, where I is the identity matrix.
OP'è
- I, where I is the identity matrix and is a positive integer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b765a29-fcb0-4895-9cef-5ef60c256f5b%2Fe493d369-0c23-45bc-8b7e-d9821b945080%2Ftqalwy_processed.png&w=3840&q=75)
Transcribed Image Text:Negative marking applies.
Consider the linear operator Pin a 3 dimensional linear vector space with basis functions (). P has the following action on the basis function:
Pê, ê. Pêsê, and Pe
Which of the following is the matrix from of P?
OP
OP
OP
[010]
001
00
0
100
Loo
10
01 0
0
100
Now select which of the following statements must be true:
OP-I, where I is the identity matrix.
OP³ès-é
OP³ės - ēs.
²ė, -és
□p³ès - Pès-és-
OP³ė, -és-
ope
- I, where I is the identity matrix and is a positive integer.
Op³ - I, where I is the identity matrix.
OP'è
- I, where I is the identity matrix and is a positive integer.
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Follow-up Questions
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Follow-up Question
Once you do Pe1 = 0•e1 + 0•e2 + 1•e3 and then the same for Pe2 and Pe3, how do you know the matrix is
0 1 0
0 0 1
1 0 0
thank you :)
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