1. Let A=M³₂ (f) be the matrix B' associated with the linear map f(x,y,z) = (3x − y + 4z,y+z-x,x+y+z) relative to the bases B={u=(4,18,6), v= (17.1.0), w = (17,0,- 5) } and B'={u'=(2,2, 1); v'= (1,0,0); w'=(3,2,0) } Then the first column of A is:
1. Let A=M³₂ (f) be the matrix B' associated with the linear map f(x,y,z) = (3x − y + 4z,y+z-x,x+y+z) relative to the bases B={u=(4,18,6), v= (17.1.0), w = (17,0,- 5) } and B'={u'=(2,2, 1); v'= (1,0,0); w'=(3,2,0) } Then the first column of A is:
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
![1. Let A=M³ (f)
B
B
be the matrix
associated with the linear map
f(x,y,z) = (3x − y + 4z,y + z − x,x+y+z)
relative
to
the
bases
B={u=(4,18,6), v= (17.1.0), w = (17,0,- 5) }
and
B'={u'=(2,2,1); v' = (1,0,0); w'=(3,2,0) }
Then the first column of A is:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd589ba33-46f0-43e1-9ef3-a17990fe3dce%2F88b2bdad-0801-4641-9ab0-b1040a1b7017%2F2n78hg8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Let A=M³ (f)
B
B
be the matrix
associated with the linear map
f(x,y,z) = (3x − y + 4z,y + z − x,x+y+z)
relative
to
the
bases
B={u=(4,18,6), v= (17.1.0), w = (17,0,- 5) }
and
B'={u'=(2,2,1); v' = (1,0,0); w'=(3,2,0) }
Then the first column of A is:
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