Matrix of a Linear Transformation

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This video explains how to find the standard matrix of a linear transformation, along with 2-dimensional examples. Table of contents below.

00:00 - Introduction
00:20 - Definition of a transformation
01:11 - Definition of a linear transformation
02:25 - Finding standard matrix of a linear transformation
05:11 - Example (reflection over x2-axis)
08:02 - Example (reflection through origin)
10:08 - Generalization
10:28 - Conclusion
  1. Ilya Mikhelson
  2. Linear Algebra (Field Of Study)
  3. Linear Transformation
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"And what it actually means". Thank you so much for doing this video. I was so lost in class. I feel like all we go over is theorems and definitions, but its really hard for me to understand the application of it all. Again, thank you sir, you are a life saver! :)

Micchapin
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Watched several videos and was still lost... thanks for clearing alot!!! Watched this in 2021🤗

hudagal
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Thank you so much for describing this in a concise manner.

Braeden
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oh my, thanks SO much. you have no idea how much you've helped me.
Keep making videos! <3

shushanieh
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Dude. You fucking saved my grade. I want to procreate with you.

Diaryofaninja
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Thank you sir your stuff is very helpful.

asadali-hjhq
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You're wrong, Matrix is a movie.

MrJKou
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This sounded almost exactly as my teacher explained it. Totally generic and with no meaning. I was lost just by the intro. Is the idea to confuse someone totally and completely before actually dong a practical problem?

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