Linear Algebra Given B = v1 {(0, 1, 1, 1)}, v2 = {2, 1, –1, –1} , v3 {(1,4, –1,2)} , v4{(6,9,4, 2)} B' = wi {(0, 8, 8)}, wz = {-7,8, 1} , wz {(-6,9, 1)} 3 -2 1 0\ 1 6 2 1 and T : Rª → R® such that matrix A is the -3 0 7 1 transformation matrix in relation to bases B and B' %3D A = a) Find [T(vi)B'] , [T(v2)B], [T(v3)B'] , [T(vA)B'] b)Find T(v1),T(v2),T(v3), T(v4)
Linear Algebra Given B = v1 {(0, 1, 1, 1)}, v2 = {2, 1, –1, –1} , v3 {(1,4, –1,2)} , v4{(6,9,4, 2)} B' = wi {(0, 8, 8)}, wz = {-7,8, 1} , wz {(-6,9, 1)} 3 -2 1 0\ 1 6 2 1 and T : Rª → R® such that matrix A is the -3 0 7 1 transformation matrix in relation to bases B and B' %3D A = a) Find [T(vi)B'] , [T(v2)B], [T(v3)B'] , [T(vA)B'] b)Find T(v1),T(v2),T(v3), T(v4)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Linear Algebra
Given
B = v1 {(0, 1, 1, 1)}, v2 = {2, 1, –1, –1}, v3 {(1,4, –1,2)}, v4{(6,9, 4, 2)}
B' = wi {(0, 8, 8)} , w2 = {-7,8, 1} , wz {(-6, 9, 1)}
3 -2 i 0\
1 6 2 1 and T : Rª → R° such that matria A is the
-3 0 7 1
transformation matrix in relation to bases B and B'
A =
a)Find
[T(v1)B'] , [T(v2)B'], [T (v3)B'] , [T(v4)B']
b)Find
Τ(υ1 ), Τ(υ 2), Τ(υ3), Τ(υ4)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6baf2d40-0c3d-4542-9109-3c80e3eaf08f%2F5141943e-1121-4ff4-84c4-c79930c9228f%2Fcu7m04e_processed.png&w=3840&q=75)
Transcribed Image Text:Linear Algebra
Given
B = v1 {(0, 1, 1, 1)}, v2 = {2, 1, –1, –1}, v3 {(1,4, –1,2)}, v4{(6,9, 4, 2)}
B' = wi {(0, 8, 8)} , w2 = {-7,8, 1} , wz {(-6, 9, 1)}
3 -2 i 0\
1 6 2 1 and T : Rª → R° such that matria A is the
-3 0 7 1
transformation matrix in relation to bases B and B'
A =
a)Find
[T(v1)B'] , [T(v2)B'], [T (v3)B'] , [T(v4)B']
b)Find
Τ(υ1 ), Τ(υ 2), Τ(υ3), Τ(υ4)
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