Linear Transformations: One-One

Linear Algebra: We recall the definition of one-one for functions and apply it to linear transformations. We obtain a simple rule for checking one-one in this case: either the kernel is zero or the associated matrix has a pivot in each column in row echelon form. Several examples are given.

[davidhoppins]

Dr Bob, you're my hero. Thanks!!

[faysalsabbagh]

Thank you doctor Bob, your few minutes teaching help me understand things that I haven't understand all semester

[ML-uuik]

Thank you, sir! I've been struggling with the last third of linear algebra (frustrated to the point of tears, sometimes) and I really appreciate you posting these. Thank you!!

[markwright]

Thank you, you honestly made it so easy to understand!

[beinggeet]

Thank you Sir...You explained it so well

[MathDoctorBob]

You're welcome! Glad to be of help.

[saqehi]

Thanks man, I'm having a hard time with this class and I have being Getting As in my past classes

[MonkyLaff]

thank you thank you thank you omg thank you!

[behzaddll]

omg, you left hand is sooo annoying :-P
But you explain very good, thanx for the video :)