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V. You Let B = {b1, b2} and C = {C1, C2} be two bases for a vector space are given that bi 3D 5c1 + 2с2, bz — 23c1 + 9c2 and c1 = -9b1 + 2b2, c2 = 2b1 – 5b2. (i) If P CEB then the value of B is k (ii) If P BEC then the value of k is m n

V. You Let B = {b1, b2} and C = {C1, C2} be two bases for a vector space are given that bi 3D 5c1 + 2с2, bz — 23c1 + 9c2 and c1 = -9b1 + 2b2, c2 = 2b1 – 5b2. (i) If P CEB then the value of B is k (ii) If P BEC then the value of k is m n

Elementary Linear Algebra (MindTap Course List)
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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Let B = {b1,b2} and C = {C1, C2} be two bases for a vector space V. You are given that bị 5c1 + 2с2, b2 %3 23c1 + 9c2 and C1 = -9b1 + 2b2, C2 = 2b1 – 5b2. (i) If P CEB , then the value of B is k (ii) If P BEC , then the value of k is m n
Transcribed Image Text:Let B = {b1,b2} and C = {C1, C2} be two bases for a vector space V. You are given that bị 5c1 + 2с2, b2 %3 23c1 + 9c2 and C1 = -9b1 + 2b2, C2 = 2b1 – 5b2. (i) If P CEB , then the value of B is k (ii) If P BEC , then the value of k is m n
r (iii) If U = 8b1 + b2 and [u]c = then the value of r is S A and the value of S is (iv) If V = 3c1 +7c2 and [v]B = then the value of p is and the value of q is
Transcribed Image Text:r (iii) If U = 8b1 + b2 and [u]c = then the value of r is S A and the value of S is (iv) If V = 3c1 +7c2 and [v]B = then the value of p is and the value of q is
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