In Exercises 1 and 2, compute u + vand u-2v. -[1]-[3] V = 2 1. u=
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Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 60E: Define T:R2R2 by T(v)=projuv Where u is a fixed vector in R2. Show that the eigenvalues of A the...
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![1.3 EXERCISES
In Exercises 1 and 2, compute u + vand u-2v.
anonas
1. u=
ni siq
2.
31
u =
u=
−1
V
[]+=B]
2
5. X1
6. X1
asd
V =
3
,
2
In Exercises 3 and 4, display the following vectors using
on an xy-graph: u, v, -v, -2v, u + v, u - v, and u-2v.
that u - v is the vertex of a parallelogram whose other verti
u, 0, and -v.
6
-1
[-]+
5
3. u and v as in Exercise 1
avo no It
In Exercises 5 and 6, write a system of equations that is equ
to the given vector equation.
-27
3
21
2700
+ x2
{W1, W2, W
Practice Problem
It is useful to rev
-3
4
-7
[][]
0
-5
+ x2
8
5
4. u and v as in Exercis
del no 23.& plen
3
bus
+ x₁ [ 6 ] = [8]
X3
-6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdedb6468-f819-4716-87b0-c3be3de65b26%2F85675bf2-3f35-4640-97cb-92dc1f67f3ee%2Fsbz464c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.3 EXERCISES
In Exercises 1 and 2, compute u + vand u-2v.
anonas
1. u=
ni siq
2.
31
u =
u=
−1
V
[]+=B]
2
5. X1
6. X1
asd
V =
3
,
2
In Exercises 3 and 4, display the following vectors using
on an xy-graph: u, v, -v, -2v, u + v, u - v, and u-2v.
that u - v is the vertex of a parallelogram whose other verti
u, 0, and -v.
6
-1
[-]+
5
3. u and v as in Exercise 1
avo no It
In Exercises 5 and 6, write a system of equations that is equ
to the given vector equation.
-27
3
21
2700
+ x2
{W1, W2, W
Practice Problem
It is useful to rev
-3
4
-7
[][]
0
-5
+ x2
8
5
4. u and v as in Exercis
del no 23.& plen
3
bus
+ x₁ [ 6 ] = [8]
X3
-6
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