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(1) Recalled that for ₁, U2, U3, U₁ € R¹, then the span of these four vectors are defined as Suppose span {0₁, 0₂, 03, 0₁} = {av₁ + bû₂ + cũ3 + du: a, b, c, d = R}. --0---0 = = are in the set called 2 3 7 V3 Determine whether the following vectors in Rª (). = (O) 3 and ₁= () span {1, 02, 03, 04₁}. Hint: You should make an argument that minimize the amount of computation, and don't have to solve some equations 5 times. Does the given set span R¹?

(1) Recalled that for ₁, U2, U3, U₁ € R¹, then the span of these four vectors are defined as Suppose span {0₁, 0₂, 03, 0₁} = {av₁ + bû₂ + cũ3 + du: a, b, c, d = R}. --0---0 = = are in the set called 2 3 7 V3 Determine whether the following vectors in Rª (). = (O) 3 and ₁= () span {1, 02, 03, 04₁}. Hint: You should make an argument that minimize the amount of computation, and don't have to solve some equations 5 times. Does the given set span R¹?

Advanced Engineering Mathematics
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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(1) Recalled that for ₁, U2, U3, U₁ € R¹, then the span of these four vectors are defined as Suppose span {0₁, 0₂, 03, 0₁} = {av₁ + bû₂ + cũ3 + du: a, b, c, d = R}. --0---0 = = are in the set called 2 3 7 V3 Determine whether the following vectors in Rª (). = (O) 3 and ₁= () span {1, 02, 03, 04₁}. Hint: You should make an argument that minimize the amount of computation, and don't have to solve some equations 5 times. Does the given set span R¹?
Transcribed Image Text:(1) Recalled that for ₁, U2, U3, U₁ € R¹, then the span of these four vectors are defined as Suppose span {0₁, 0₂, 03, 0₁} = {av₁ + bû₂ + cũ3 + du: a, b, c, d = R}. --0---0 = = are in the set called 2 3 7 V3 Determine whether the following vectors in Rª (). = (O) 3 and ₁= () span {1, 02, 03, 04₁}. Hint: You should make an argument that minimize the amount of computation, and don't have to solve some equations 5 times. Does the given set span R¹?
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