(iii) If u = 461 + 362 and [u]c = then the value of r is and the value of S is (iv) If V = 3c1 + 2c2 and [v]B = || then the value of p is and the value of q 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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(iii) If U = =
4b1 + 3b2 and |uc
then the value of r is
and the value of S is
(iv) If V = 3c1 + 2c2 and [v]B
then the value of p is
and the value of q is
Transcribed Image Text:(iii) If U = = 4b1 + 3b2 and |uc then the value of r is and the value of S is (iv) If V = 3c1 + 2c2 and [v]B then the value of p is and the value of q is
Let B = {b1, b2} and C = {c1, c2} be two bases for a vector space V. You
are given that
b1 = 10c1 + 3c2, b2 = 27c1 + 8c2
and
c1 = -8b1 + 3b2, c2 = 27b1 – 10b2.
a B
(i) If P =
CB
, then the value of B is
k
(ii) If P
BC
then the value of n is
m
(ii) If U = 4b1 + 3b2 and [u]c = |' |
4b1 + 3b2 and (ис-
then the value of r is
S
Transcribed Image Text:Let B = {b1, b2} and C = {c1, c2} be two bases for a vector space V. You are given that b1 = 10c1 + 3c2, b2 = 27c1 + 8c2 and c1 = -8b1 + 3b2, c2 = 27b1 – 10b2. a B (i) If P = CB , then the value of B is k (ii) If P BC then the value of n is m (ii) If U = 4b1 + 3b2 and [u]c = |' | 4b1 + 3b2 and (ис- then the value of r is S
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