[2] 6. 굿%3D |3 | ; 히1 = |, v2 = 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
GOAL Use the concept of coordinates. Apply the defini-
tion of the matrix of a linear transformation with respect
to a basis. Relate this matrix to the standard matrix of
the transformation. Find the matrix of a linear transfor-
mation (with respect to any basis) column by column. Use
the concept of similarity.
In Exercises 1 through 18, determine whether the vector
i is in the span V of the vectors v1, ·..,
inspection" if possible, and use the reduced row-echelon
form if necessary). If x is in V, find the coordinates of i
with respect to the basis B = (01, ..., im) of V, and write
the coordinate vector |x B.
im (proceed “by
Transcribed Image Text:GOAL Use the concept of coordinates. Apply the defini- tion of the matrix of a linear transformation with respect to a basis. Relate this matrix to the standard matrix of the transformation. Find the matrix of a linear transfor- mation (with respect to any basis) column by column. Use the concept of similarity. In Exercises 1 through 18, determine whether the vector i is in the span V of the vectors v1, ·.., inspection" if possible, and use the reduced row-echelon form if necessary). If x is in V, find the coordinates of i with respect to the basis B = (01, ..., im) of V, and write the coordinate vector |x B. im (proceed “by
[2
27
6. 굿 %3D |3|; 히1 =
1
, v2 =
%3D
4
Transcribed Image Text:[2 27 6. 굿 %3D |3|; 히1 = 1 , v2 = %3D 4
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