Matrix Exponential: How to calculate? (Step-by-step)

👉 In this video we look at how to calculate e to the power of a Matrix. This is actually very straight forward, you only need to be able to add and multiply matrices.

⭐️ Related content:

⏱ Timestamps:
00:00 Intro
00:44 Brief background
02:37 How to calculate in general
05:00 Applied to this example
09:35 Trick with diagonal matrices
16:06 Outro

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👍 Thanks for watching!

#MatrixExponential #MathTools #OnlineEducation

[PenandPaperScience]

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[Fireflyepic]

People like you give me hope in myself. I've been struggling in math for the first time in my life (since entering into linear algebra and differential equations) and I was starting to think I was the issue.

Nope. Given a good teacher, I.e. you, this stuff is a piece of cake. You're not just teaching people, but you're also restoring their sense of self efficacy, which may have been damaged from poor lecturing.

Good lecturers digest or deliver digested content for the student, rather than regurgitating the uncooked, raw formulas and abstractions present in textbooks.

[PenandPaperScience]

This is actually used a lot in Quantum Mechanics! :)
⏱ Timestamps:
0:00 Intro
0:44 Brief background
2:37 How to calculate in general
5:00 Applied to this example
9:35 Trick with diagonal matrices
16:06 Outro

[muluegebreslasie]

Hello: Thank you for the helpful video. It helps me a lot in my work. And I need your help, on how to find a matrix D (to be found) such that: e^(D ) = C (given square matrix).

[jacksonmadison]

What’s the difference between fundamental matrix and matrix exponential ?

[jeffreyhowarth]

What does this have to do with lie algebra?

[nikhafiz]

how to turn non-diogonal matrix into a diogonal ?