akwash360 3Speak Podcast

Exploring Matrix Operations: Verifying (C² + CD)ᵀ = DᵀCᵀ + (C²)ᵀ


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https://3speak.tv/watch?v=akwash360/blrlhsnp
Hello amazing people of the Hive Community. It’s another great day to work on a mathematics problem from the topic Matrices. In this particular exercise, we are given two different matrices of the same order (2 × 2) and asked to evaluate C² + CD. The second part of the question requires us to compare two different expressions to determine whether they yield the same result.

To solve part (a), I first obtained the matrix for C² and then added it to CD.

For part (b), I calculated the transpose of the required matrices and applied the necessary operations to simplify the given expression.

In conclusion, after comparing both expressions, it was confirmed that:

(C² + CD)ᵀ = DᵀCᵀ + (C²)ᵀ

See below the step-by-step workings;


Thanks for coming around, and I hope you found this explanation both educative.

Tools Used

Graphics tablet/Pen

Miro online white board
Laptop

Video edited with VSDC

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akwash360 3Speak PodcastBy @Akwash360