ם Grades for Sean E Stiner: (MA 2 × Hwk 24 - (MA 244-03) (SP25) || X b Answered: [) Hwk 25 Hwk 28 - (X + https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606603 5. [-/2.22 Points] DETAILS MY NOTES LARLINALG8 6.3.021. Consider the following. T is the projection onto the vector w = (3, 1) in R²: T(v) = projwv, v = (1, 5). (a) Find the standard matrix A for the linear transformation T. A = (b) Use A to find the image of the vector v. T(v) = (c) Sketch the graph of v and its image. y 6 V 5 4 3 T(V) 2 1 y 6 V 5 4 3 2 1 T (V) x -6-5-4-3-2-1 1 2 3 4 5 6 -6-5-4-3-2-1 1 2 3 4 5 6 -1 -1 -2H -2 -3 -3 -4 -4 -5 6 5 4 3 2 T(V) 1 y 6 V 5 4 3 2 1 T (V) x 1 2 3 4 5 6 -6-5-4-3-2-1 -1 -2 -2 -3 -3 -4 -6-5-4-3-2-1 Need Help? Read It 156 -5 x 1 2 3 4 5 6 ----- 67% ☆ ill จ ASK YOUR TEACHER PRACTICE ANOTHER ם Hwk 25 Hwk 25 - (MA 244-03) (SP25) || X Answered: [) Hwk 25 Hwk 28 - (X + https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606604 3. [1.14/4 Points] DETAILS MY NOTES LARLINALG8 6.4.013. Let B = {(1, 3), (-2, -2)} and B' = {(−12, 0), (-4, 4)} be bases for R², and let 42 - [13] A = 30 be the matrix for T: R² R² relative to B. (a) Find the transition matrix P from B' to B. 6 4 P = 9 4 (b) Use the matrices P and A to find [v] B and [T(V)] B, where [v]B[31]. 26 [V] B = -> 65 234 [T(V)]B= -> 274 (c) Find P-1 and A' (the matrix for T relative to B'). -1/3 1/3 - p-1 = -> 3/4 -1/2 ↓ ↑ -1 -1.3 A' = 12 8 ↓ ↑ (d) Find [T(v)] B' two ways. 4.33 [T(v)]BP-1[T(v)]B = 52 4.33 [T(v)]B' A'[V]B' = 52 目 67% PREVIOUS ANSWERS ill ASK YOUR TEACHER PRACTICE ANOTHER
ם Grades for Sean E Stiner: (MA 2 × Hwk 24 - (MA 244-03) (SP25) || X b Answered: [) Hwk 25 Hwk 28 - (X + https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606603 5. [-/2.22 Points] DETAILS MY NOTES LARLINALG8 6.3.021. Consider the following. T is the projection onto the vector w = (3, 1) in R²: T(v) = projwv, v = (1, 5). (a) Find the standard matrix A for the linear transformation T. A = (b) Use A to find the image of the vector v. T(v) = (c) Sketch the graph of v and its image. y 6 V 5 4 3 T(V) 2 1 y 6 V 5 4 3 2 1 T (V) x -6-5-4-3-2-1 1 2 3 4 5 6 -6-5-4-3-2-1 1 2 3 4 5 6 -1 -1 -2H -2 -3 -3 -4 -4 -5 6 5 4 3 2 T(V) 1 y 6 V 5 4 3 2 1 T (V) x 1 2 3 4 5 6 -6-5-4-3-2-1 -1 -2 -2 -3 -3 -4 -6-5-4-3-2-1 Need Help? Read It 156 -5 x 1 2 3 4 5 6 ----- 67% ☆ ill จ ASK YOUR TEACHER PRACTICE ANOTHER ם Hwk 25 Hwk 25 - (MA 244-03) (SP25) || X Answered: [) Hwk 25 Hwk 28 - (X + https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606604 3. [1.14/4 Points] DETAILS MY NOTES LARLINALG8 6.4.013. Let B = {(1, 3), (-2, -2)} and B' = {(−12, 0), (-4, 4)} be bases for R², and let 42 - [13] A = 30 be the matrix for T: R² R² relative to B. (a) Find the transition matrix P from B' to B. 6 4 P = 9 4 (b) Use the matrices P and A to find [v] B and [T(V)] B, where [v]B[31]. 26 [V] B = -> 65 234 [T(V)]B= -> 274 (c) Find P-1 and A' (the matrix for T relative to B'). -1/3 1/3 - p-1 = -> 3/4 -1/2 ↓ ↑ -1 -1.3 A' = 12 8 ↓ ↑ (d) Find [T(v)] B' two ways. 4.33 [T(v)]BP-1[T(v)]B = 52 4.33 [T(v)]B' A'[V]B' = 52 目 67% PREVIOUS ANSWERS ill ASK YOUR TEACHER PRACTICE ANOTHER
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 13E
Related questions
Question
100%
![ם
Grades for Sean E Stiner: (MA 2 ×
Hwk 24 - (MA 244-03) (SP25) || X
b Answered: [) Hwk 25 Hwk 28 - (X
+
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606603
5. [-/2.22 Points]
DETAILS
MY NOTES
LARLINALG8 6.3.021.
Consider the following.
T is the projection onto the vector w = (3, 1) in R²: T(v) = projwv, v = (1, 5).
(a) Find the standard matrix A for the linear transformation T.
A =
(b) Use A to find the image of the vector v.
T(v) =
(c) Sketch the graph of v and its image.
y
6
V
5
4
3
T(V)
2
1
y
6
V
5
4
3
2
1
T (V)
x
-6-5-4-3-2-1
1
2
3
4
5
6
-6-5-4-3-2-1
1
2
3
4
5
6
-1
-1
-2H
-2
-3
-3
-4
-4
-5
6
5
4
3
2
T(V)
1
y
6
V
5
4
3
2
1
T (V)
x
1 2
3
4
5
6
-6-5-4-3-2-1
-1
-2
-2
-3
-3
-4
-6-5-4-3-2-1
Need Help?
Read It
156
-5
x
1 2
3 4
5
6
-----
67%
☆
ill
จ
ASK YOUR TEACHER
PRACTICE ANOTHER](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f3e1774-6198-4c5f-b04e-3248f147628e%2F4f986177-cba3-4265-9c28-47b7f47d91de%2Fdv3uae_processed.png&w=3840&q=75)
Transcribed Image Text:ם
Grades for Sean E Stiner: (MA 2 ×
Hwk 24 - (MA 244-03) (SP25) || X
b Answered: [) Hwk 25 Hwk 28 - (X
+
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606603
5. [-/2.22 Points]
DETAILS
MY NOTES
LARLINALG8 6.3.021.
Consider the following.
T is the projection onto the vector w = (3, 1) in R²: T(v) = projwv, v = (1, 5).
(a) Find the standard matrix A for the linear transformation T.
A =
(b) Use A to find the image of the vector v.
T(v) =
(c) Sketch the graph of v and its image.
y
6
V
5
4
3
T(V)
2
1
y
6
V
5
4
3
2
1
T (V)
x
-6-5-4-3-2-1
1
2
3
4
5
6
-6-5-4-3-2-1
1
2
3
4
5
6
-1
-1
-2H
-2
-3
-3
-4
-4
-5
6
5
4
3
2
T(V)
1
y
6
V
5
4
3
2
1
T (V)
x
1 2
3
4
5
6
-6-5-4-3-2-1
-1
-2
-2
-3
-3
-4
-6-5-4-3-2-1
Need Help?
Read It
156
-5
x
1 2
3 4
5
6
-----
67%
☆
ill
จ
ASK YOUR TEACHER
PRACTICE ANOTHER
![ם
Hwk 25
Hwk 25 - (MA 244-03) (SP25) || X
Answered: [) Hwk 25 Hwk 28 - (X
+
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606604
3. [1.14/4 Points]
DETAILS
MY NOTES
LARLINALG8 6.4.013.
Let B = {(1, 3), (-2, -2)} and B' = {(−12, 0), (-4, 4)} be bases for R², and let
42
- [13]
A =
30
be the matrix for T: R² R² relative to B.
(a) Find the transition matrix P from B' to B.
6
4
P =
9
4
(b) Use the matrices P and A to find [v] B and [T(V)] B, where
[v]B[31].
26
[V] B =
->
65
234
[T(V)]B=
->
274
(c) Find P-1 and A' (the matrix for T relative to B').
-1/3
1/3
-
p-1 =
->
3/4
-1/2
↓ ↑
-1
-1.3
A' =
12
8
↓ ↑
(d) Find [T(v)] B' two ways.
4.33
[T(v)]BP-1[T(v)]B =
52
4.33
[T(v)]B' A'[V]B' =
52
目
67%
PREVIOUS ANSWERS
ill
ASK YOUR TEACHER
PRACTICE ANOTHER](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f3e1774-6198-4c5f-b04e-3248f147628e%2F4f986177-cba3-4265-9c28-47b7f47d91de%2Fn1an1y4_processed.png&w=3840&q=75)
Transcribed Image Text:ם
Hwk 25
Hwk 25 - (MA 244-03) (SP25) || X
Answered: [) Hwk 25 Hwk 28 - (X
+
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606604
3. [1.14/4 Points]
DETAILS
MY NOTES
LARLINALG8 6.4.013.
Let B = {(1, 3), (-2, -2)} and B' = {(−12, 0), (-4, 4)} be bases for R², and let
42
- [13]
A =
30
be the matrix for T: R² R² relative to B.
(a) Find the transition matrix P from B' to B.
6
4
P =
9
4
(b) Use the matrices P and A to find [v] B and [T(V)] B, where
[v]B[31].
26
[V] B =
->
65
234
[T(V)]B=
->
274
(c) Find P-1 and A' (the matrix for T relative to B').
-1/3
1/3
-
p-1 =
->
3/4
-1/2
↓ ↑
-1
-1.3
A' =
12
8
↓ ↑
(d) Find [T(v)] B' two ways.
4.33
[T(v)]BP-1[T(v)]B =
52
4.33
[T(v)]B' A'[V]B' =
52
目
67%
PREVIOUS ANSWERS
ill
ASK YOUR TEACHER
PRACTICE ANOTHER
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