Let A =10-302-2- 4 4 2and b =- 1- 26Denote the columns of A by a₁, a₂, a3, and let W = Span {a₁, a2, ª3}.a. Is b in {a₁, a₂, a3}? How many vectors are in {a₁, a2, a3}?b. Is b in W? How many vectors are in W?c. Show that a, is in W. [Hint: Row operations are unnecessary.]

Given information Matrix: A=10-302-2-442, Vector: b=-1-26. Also, the column vectors of matrix A…

Answered: Let A = 10-3 0 2 -2 and b = -4 4 2 -1…

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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Let A = 10-3 0 2 -2 and b = -4 4 2 -1 -2 6 Denote the columns of A by a₁, a2, a3, and let W = Span {₁, 2, ª3}. a. Is b in {a₁, a₂, a3}? How many vectors are in {a₁, a₂, a3}? b. Is b in W? How many vectors are in W? c. Show that a₁ is in W. [Hint: Row operations are unnecessary.]