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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