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MTH 309T Practice Exam 1 1. Let A be a matrix and v be a vector given as follows: 1 1 1 1 00 1 1 00 1 1 0000 A = V= a) Determine if v is in Col(A), where Col(A) is the column space of A. b) Determine if v is in Nul(A), where Nul(A) is the null space of A. c) Find an explicit description of Nul(A) by listing vectors that span the null space.

MTH 309T Practice Exam 1 1. Let A be a matrix and v be a vector given as follows: 1 1 1 1 00 1 1 00 1 1 0000 A = V= a) Determine if v is in Col(A), where Col(A) is the column space of A. b) Determine if v is in Nul(A), where Nul(A) is the null space of A. c) Find an explicit description of Nul(A) by listing vectors that span the null space.

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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MTH 309T Practice Exam 1 1. Let A be a matrix and v be a vector given as follows: 1 1 1 1 0 0 1 1 00 1 1 0000 A = V = a) Determine if v is in Col(A), where Col(A) is the column space of A. b) Determine if v is in Nul(A), where Nul(A) is the null space of A. c) Find an explicit description of Nul(A) by listing vectors that span the null space.
Transcribed Image Text:MTH 309T Practice Exam 1 1. Let A be a matrix and v be a vector given as follows: 1 1 1 1 0 0 1 1 00 1 1 0000 A = V = a) Determine if v is in Col(A), where Col(A) is the column space of A. b) Determine if v is in Nul(A), where Nul(A) is the null space of A. c) Find an explicit description of Nul(A) by listing vectors that span the null space.
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