10 Let a₁ = , a₂ = a35 , and b = Determine whether b can be written as a linear combination of a₁, a2, and a3. In other words, determine whether weights xX₁, X2, and x3 exist, such that x₁ a₁ + x2 a2 + x3 a3 = b. Determine the weights X₁, X2, and x3 if possible. Ox₁=-3, x₂ = 0, x3 = 1 No solution OX₁-2, X₂=-1, X3 = -6 0x₁=2₁x₂=1, X3-0 A
10 Let a₁ = , a₂ = a35 , and b = Determine whether b can be written as a linear combination of a₁, a2, and a3. In other words, determine whether weights xX₁, X2, and x3 exist, such that x₁ a₁ + x2 a2 + x3 a3 = b. Determine the weights X₁, X2, and x3 if possible. Ox₁=-3, x₂ = 0, x3 = 1 No solution OX₁-2, X₂=-1, X3 = -6 0x₁=2₁x₂=1, X3-0 A
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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