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.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...

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