Let 1 2 -{0-0-0} 2 5 B = a. 3 1 8 be a basis in R³. Mark only correct statements. 3 d. --- () PB = b. PB is the transition matrix from the standard coordinates to the B- coordinates. -1 c. PB is the transition matrix from the B- coordinates to the standard coordinates. 23 P-(15) PB 2 3 108,

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 4AEXP
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Let
1
2
--{0.00}
2
5
1
8
be a basis in R³. Mark only correct statements.
B =
a.
d.
PB =
D
3
1 23
--(:)
2 5 3
1
0
8
3
b. PB is the transition matrix from the
standard coordinates to the B-
coordinates.
c. PB is the transition matrix from the B-
coordinates to the standard coordinates.
-1
PB
1 2 3
2 5
5 3
1 0 8,
D-1 is the transition matriv from the R.
Transcribed Image Text:Let 1 2 --{0.00} 2 5 1 8 be a basis in R³. Mark only correct statements. B = a. d. PB = D 3 1 23 --(:) 2 5 3 1 0 8 3 b. PB is the transition matrix from the standard coordinates to the B- coordinates. c. PB is the transition matrix from the B- coordinates to the standard coordinates. -1 PB 1 2 3 2 5 5 3 1 0 8, D-1 is the transition matriv from the R.
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