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Quite possibly the most important idea for understanding linear algebra. Help fund future projects: ...

Remember when we learned about functions in algebra? Now we will learn something analogous for linear algebra, linear ...

If you're interested in personal help, I've posted my tutoring services on Fiverr: https://www.fiverr.com/s/dDYkBlz I have not had the ...

MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube ...

Now that we've learned about linear transformations, we can combine this with what we know about vector spaces to learn about ...

How do you translate back and forth between coordinate systems that use different basis vectors? Help fund future projects: ...

There is also a discussion as to how linear maps ensure that the structure of a vector space is preserved. An alternative definition ...

Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering.

Linear Algebra: Here are a few problems on linear maps. Part 1: Are the following maps L:R^3 to R^3 linear? (a) L(x, y, z) = (x+1, ...

This is a very elementary discussion of linear transformations and matrices. I mention nothing about bases in this video and just ...

Introduction to linear transformations Watch the next lesson: ...

This is one of the most troubling topics in Linear algebra. I want to do my best to make the whole unit easy to understand. This is ...

We go over examples of how to find the standard matrix for a given linear transformation, which is equivalent to a matrix ...

This video goes over the geometric interpretation of the kernel and image of a linear map by using some animations in 2D and 3D.

What You Will Learn: The definition of a linear transformation and its two main properties: additivity and scalar multiplication.

What do 3d linear transformations look like? Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable ...

Link to Bicen Maths Award 2026 video: https://youtu.be/Le2W_X2GFlw?si=TnJuNWkTkMngSlId Use this as quick revision, ...

00:00 Linear Transformation - Word embeddings 04:49 Change of Basis - The poet, the biologist, and the monk 06:43 Matrix ...

We'll prove a theorem establishing an equivalence between a linear transformation being one-to-one, being onto, and having the ...

Thinking generally about linear maps.