Matrix puzzle | Math vs. Brute Force Computation | Pigeonhole Principle

Fill a 3x5 matrix with digits (0–9) so each row sums to 20 and each column sums to 10. Sounds doable, right? But the math proves it’s impossible. In this video, we break down the reasoning step by step and show why mathematical analysis always beats brute-force computation. Perfect for puzzle lovers, coders, and math enthusiasts who want to sharpen their problem-solving mindset. You can also read this puzzle on https://soln.tech/blog/pigeonhole-principle --- Credits (Public domain content) Music by Sergio Prosvirini from Pixabay Video clips: 1) https://pixabay.com/videos/clock-time-minutes-seconds-optic-197658/ 2) https://pixabay.com/videos/baby-coding-programming-computer-109213/ 3) https://pixabay.com/videos/data-matrix-tunnel-technology-4001/ #MathPuzzle #ImpossiblePuzzle #MatrixMath #ProblemSolving #MathExplained #CodingTips #BruteForce #LogicalThinking #Mathematics #Puzzles #BrainTeasers #MathChallenge #Riddles #NumberPuzzle #MathTricks #LearnMath #STEM #CriticalThinking #Mat