What is a Kernel and Range of a linear transformation? How do we compute these and find their respective basis? This video aims to answer these questions.
This video is by far the most thorough and best explanation. I love that Drew does a short review before solving the problem. He makes it so easy to understand the concept.
i have a question here basis of kernal is empty then.it has no dimension..means zero dimension.but dimension.of Kernal equals nulity so here we seee nulity is 1
For the Kernal you set the free variables of rref equal to t, s, r... , solve for each vector in terms of these, giving the span of the nul space aka kernal. For the Range you'd use the rref pivots/leading 1's , use only the corresponding columns from the original matrix, that should be your answer. Cool vid btw :)
Bro left us and now we're stuck with mrs frost again- (Also the only other person in the comments ik is Michael- im suprised i havent seen anyone else ik) How many eggs could fit into a microwave 👨🦲
