Question:

Let V =x x-y+z= 0 and 2x + z = 0 y ER³ z (a)

Last updated: 7/30/2022

Let V =x   x-y+z= 0 and 2x + z = 0      y ER³      z (a)

Let V =x x-y+z= 0 and 2x + z = 0 y ER³ z (a) Find a matrix A such that V = Null(A). (b) Find a matrix B such that V = Col(B). (c) Find a matrix C such that V = Row (C). (d) Determine the geometric nature of V. In other words, determine if V is a line, a plane or all of R³.