The image of a 3 4 matrix is a subspace of R4.
Step 1 of 3
Math241Lecture 2: Equation of planes, Quadratic Surfaces Recall from the previous lecture that we can find an equation of a line just by knowing a point on the line and a vector parallel to the line. We can do a similar thing with the equation of a plane. Say we know a point P on the plane with coordinates P=(x ,y,z) . Next, say we want a vector perpendicular to the point. We call that a normal vector and denote it as ⃗=¿a,b,c>¿ . We do not need that the normal vector is on the plane. It just has to be P perpendicular to it. Now let’s take a random point on the plane and call it with coordinates P1=(x 1 y 1z 1 r r1 P
Textbook: Linear Algebra with Applications
Author: Otto Bretscher
The answer to “The image of a 3 4 matrix is a subspace of R4.” is broken down into a number of easy to follow steps, and 12 words. Since the solution to 3 from 3 chapter was answered, more than 274 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 3 from chapter: 3 was answered by , our top Math solution expert on 11/15/17, 02:44PM. This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 5. This full solution covers the following key subjects: image, Matrix, subspace. This expansive textbook survival guide covers 8 chapters, and 441 solutions. Linear Algebra with Applications was written by and is associated to the ISBN: 9780321796974.