Distributivity of Matrix Multiplication Proof

In this exercise we will proof, that the matrix multiplication is distributive, meaning that A*(B+C) is equal to A*B + A*C. Therefore we will first validate the sizes of A, B and C and then show that every element in both sides of the equation is actually equal.

⏰ Timeline
00:00 Exercise
00:16 Check sizes
01:24 Proofing strategy
02:21 Actual proof
04:51 Conclusion

🔢 Equation to proof
A*(B+C) = A*B + A*C
with A,B, and C being matrices

📜 All Discrete Mathematics Exercises

📜 All Linear Algebra Exercises

🎵 Music
Creative Commons — Attribution 3.0 Unported — CC BY 3.0

[rodioniskhakov]

Your explanations of associativity and distributivity are so clear. Thank you very much!

[AriannaMartinez-ou]

Thank you so much for this!! It really helped me understand matrix proofs in general beside just this one