In Exercises 1 through 18, determine whether the vector i is in the span V of the vectors v1, . ., īm (proceed “by inspection" if possible, and use the reduced row-echelon form if necessary). If ï is in V, find the coordinates of i with respect to the basis B = (1, . .., öm) of V, and write the coordinate vector |x |B.
In Exercises 1 through 18, determine whether the vector i is in the span V of the vectors v1, . ., īm (proceed “by inspection" if possible, and use the reduced row-echelon form if necessary). If ï is in V, find the coordinates of i with respect to the basis B = (1, . .., öm) of V, and write the coordinate vector |x |B.
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
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1
17. 굿=
; 히
v2 =
, 3
1
3
4
01"
Transcribed Image Text:1
1
17. 굿=
; 히
v2 =
, 3
1
3
4
01

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
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