1. Let A=MB (f) 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), and v= (17.1.0), w (17,0,-5)} v' = (1,0,0); w'=(3,2,0) } Then the first B' {u'=(2,2,1); column of A is: A. 2 1 3 B "G B. - 16 13 1 OC. 7 "G -5 3 OD. E. لنا 4 17 17 3 نیا

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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1. Let A=MB (f) 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
Then the
first
B'= {u'=(2,2,1); v' = (1,0,0); w'=(3,2,0) }
column of A is:
O A.
2
"B
1
3
B.
-
- 16
On ()
13
1
C.
D.
E.
7
-5
3
4
17
17
3
-
Transcribed Image Text:1. Let A=MB (f) 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 Then the first B'= {u'=(2,2,1); v' = (1,0,0); w'=(3,2,0) } column of A is: O A. 2 "B 1 3 B. - - 16 On () 13 1 C. D. E. 7 -5 3 4 17 17 3 -
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