Is b in W? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. Let A =10-20 44 and b =-58 464- 30Denote the columns of A by a₁, a2, a3, and let W = Span {a₁, ª2, №3}.? How many vectors are in {a₁, a2,a. Is b in {a₁, 22,1‚ a3}?b. Is b in W? How many vectors are in W?c. Show that a2 is in W. [Hint: Row operations are unnecessary.]a3}?

Introduction: To determine the given vector is in span of columns of the matrix use the linear…

Answered: Let A = 10-2 04-4 -58 4 and b = 4 - 30…

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 = 10-2 04-4 -58 4 and b = 4 - 30 Denote 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}? 1 b. Is b in W? How many vectors are in W? c. Show that a is in W. [Hint: Row operations are unnecessary.]