# From "Calculating Eigenvalues and Eigenvectors": getting the vector zero!?

in the video in week 4: Calculating Eigenvalues and Eigenvectors | Coursera

what I already know

• the two matrices match at the line in infinitely many points
• and the difference between transformations usually match in the origin point only (0,0) and in this part Luis Serano told “that is strange” and I didn’t see it strange anyway.

trial:
I subtract the two matrices and got me this

So, I don’t understand where is the ZERO VECTOOOOR!!!

I haven’t watched this lecture in a year, so I don’t remember the details. But here’s my thought just based on what you show above:

What does it mean to subtract the two matrices? What you are doing is solving for the intersection between the two linear transformations, meaning the inputs for which they will give equal output values. So they agree for all input values on the line:

y = x

Does that answer your question? If I’m just missing your point, then I’ll need to go back and actually watch the lecture to get the full context of what Luis is talking about here.

Ahaa! got it thank you

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