Linear Transformations: Find where T maps standard basis vector | Linear Algebra

preview_player
Показать описание
What is a linear transformation? You can think of it as a function from one space to another, that has a special property of being linear. In our case the linear transformation maps from 2022-dimensional space to 2-dimensional space (the plane). We're given two pieces of information about where our transformation takes linear combinations of basis vectors and we need to find where it takes e_2, the second standard basis vector. I explain what linear means and how to find T(e_2) .

If you found this video helpful, check out my other videos on linear algebra:

Good luck with your studying :)
Рекомендации по теме
Комментарии
Автор

You’re a very good teacher/explainer!!! I enjoyed that and learnt about linear functions of matrices, yay!

plasmapig
Автор

Yay Jessie! :) Wish I was smart enough to understand this.

emmashimizu
Автор

Hey ! Jessie, Which books are best for Linear Algebra ? Lots of books are available in online. Please, give me particular suggestion of few best books of Linear Algebra.

souravnatta
Автор

Then, restricted to R2, would T = [(4, 3), (0, 3)]?

michaelzumpano
Автор

Can you define this problem through Quantam Algebra? 😕

souravnatta
Автор

Zeros all the way down are better than turtles, emiright? #badumtss 😜😂

MacDKB