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\ A = 1 6 2 1 and T : R* H→ R° such that matrix A is the -3 0 7 1 transformation matrix in relation to bases B and B' a) Find a formula and a basis for T(21.72, #3, #4) and use this formula to get T(2,2,0,0) b Find Im(T) and a basi for the Im(T).What is the dim(Im(T))
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\ A = 1 6 2 1 and T : R* H→ R° such that matrix A is the -3 0 7 1 transformation matrix in relation to bases B and B' a) Find a formula and a basis for T(21.72, #3, #4) and use this formula to get T(2,2,0,0) b Find Im(T) and a basi for the Im(T).What is the dim(Im(T))
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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Question
The letter a already answered and I'm just looking forward to the letter b
Expert Solution
Step 1
(b) is such that matrix is the transformation from B to B'.
Row reducing matrix by applying , we get
Since, column 1 and column 2 have the leading entries . So, column 1 and column 2 of the original matrix will span the
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