Let B and C be the two bases for R² given below. Find PC-B, the change-of-coordinates matrix from B to C, and PB-C, the change-of-coordinates matrix from C to B. 15 3 -13 B = PC-B 12 ].[1] 11 000 000 000 000 PB C 0 0 0 000 C =

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Section5.3: The Gram-schmidt Process And The Qr Factorization
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Let B and C be the two bases for R² given below. Find PCB, the change-of-coordinates matrix from B to C, and PB-C, the
change-of-coordinates matrix from C to B.
12
-DA-CA
11
B =
PC-B
15
-13
000
= 0 0 0
000
000
PB C 0 0 0
=
000
=
3
-3
3
Transcribed Image Text:Let B and C be the two bases for R² given below. Find PCB, the change-of-coordinates matrix from B to C, and PB-C, the change-of-coordinates matrix from C to B. 12 -DA-CA 11 B = PC-B 15 -13 000 = 0 0 0 000 000 PB C 0 0 0 = 000 = 3 -3 3
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