Question 35 Let B = {b1, b2} and C = {C1, c2} be two bases for a vector space V. You are given that b1 = 6c1 + 5c2, bg = 11c1 + 9c2 and C1 = -9b1 + 5b2, c2 = 11b1 – 6bg. - 6b2. (i) If P = C-B then the value of a is (ii) If P B-C then the value of n is m. n (ii) If u = 361 + 2b2 and [uc = 361 + 262 and [i]c = then the value of r is and the value of 8 is (iv) If v = 201 + 3c2 and 3 then the value of p is and the value of q is

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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Question 35
Let B = }b1, b2} and C= {C1, c2 be two bases for a vector space V. You
{C1, C2} be twa bases for a vector space V. You
are given that
b1 = 6c1 + 5c2, b2 = 11c1 + 9c2
and
C1 = -9b1 + 5b2, c2 = 11b1 – 6bg.
- 6b2.
(i) If P =
C-B
then the value of a is
(ii) If P
B-C
then the value of n is
m.
n
(iii) If u
361 + 262 and [ulc=
then the value of r is
and the value of 8 is
(iv) If v = 201 + 3c2 and 8
then the value of p is
and the value of q is
Transcribed Image Text:Question 35 Let B = }b1, b2} and C= {C1, c2 be two bases for a vector space V. You {C1, C2} be twa bases for a vector space V. You are given that b1 = 6c1 + 5c2, b2 = 11c1 + 9c2 and C1 = -9b1 + 5b2, c2 = 11b1 – 6bg. - 6b2. (i) If P = C-B then the value of a is (ii) If P B-C then the value of n is m. n (iii) If u 361 + 262 and [ulc= then the value of r is and the value of 8 is (iv) If v = 201 + 3c2 and 8 then the value of p is and the value of q is
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