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10 -5 5 Let A = 0 2 -4 Denote the columns of A by a,, a,, az, and let W = Span{a, a, az) and b = 1 -4 4 3 -5 C. aions a c. The vector a, is in W = Span{a, a a) because a, can be written as a linear combination c, a, + C,a, + Cza, where Thus, a, is in W because a, =a, +a, + ag (Simplify your answers)

10 -5 5 Let A = 0 2 -4 Denote the columns of A by a,, a,, az, and let W = Span{a, a, az) and b = 1 -4 4 3 -5 C. aions a c. The vector a, is in W = Span{a, a a) because a, can be written as a linear combination c, a, + C,a, + Cza, where Thus, a, is in W because a, =a, +a, + ag (Simplify your answers)

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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10-5 5 Let A = 02-4 and b= Denote the columns of A by a,, az, az, and let W= Span{a, a2 a3} 1 - 4 4 3. - 5 a b. C. The vector a, is in W Span{a, a a) because a, can be written as a linear combination c, a, + Cza, + Cza, where Thus, a, is in W because a, = (Simplify your answers.) la. +
Transcribed Image Text:10-5 5 Let A = 02-4 and b= Denote the columns of A by a,, az, az, and let W= Span{a, a2 a3} 1 - 4 4 3. - 5 a b. C. The vector a, is in W Span{a, a a) because a, can be written as a linear combination c, a, + Cza, + Cza, where Thus, a, is in W because a, = (Simplify your answers.) la. +
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