This is an example calculation for the kernel of a matrix.
Calculating the kernel of a matrix - An example
Now let’s write a matrix and see how we can calculate the kernel.
Content of the video:
00:00 Introduction
00:08 Example with a 3x4 matrix
00:32 Definition of the kernel
01:53 Row operations don’t change the kernel
03:10 Creating zeros in second column
03:54 Row echelon form
04:45 Stating equation with variables
05:36 Backwards substitution
06:50 Solution set
07:45 Rewriting solution set as a span
08:30 Basis of the kernel