In Exercises 1 through 20, find the redundant column vectors of the given matrix A by inspection. Then find a basis of the image of A and a basis of the kernel of A.
Step 1 of 3
Spencer Kociba MATH 200005 Lecture Notes Week 3 10/03/2016 ● 11.6: Planes in 3space ○ Normal vector= a vector perpendicular to the entire plane ○ Definition of a plane proof/example ■ n= and is a normal vector to the plane ■ P❑ o(x❑ ,yo ,z❑o) o and P=(x ,y,z) (points on the plane) ■ r❑ ox❑ ,o❑ ,zo >¿ro¿x,y,z>¿ ■ ■ n∙(r−r❑ )o0 ¿x,y,z>−¿x❑ ,y❑ ,z❑ >¿=0 ■ o o o
Textbook: Linear Algebra with Applications
Author: Otto Bretscher
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