✨ Matrix Magic: Rank of a Matrix Explained ✨

📜How do we find the rank of a matrix? 🤔 The rank tells us the number of independent rows or columns — a core concept in linear algebra! 🌟 In this example, we take a 3×2 matrix and apply Gaussian elimination step by step: 1️⃣ Reduce the matrix to row echelon form ⚡ 2️⃣ Count the non-zero rows 🚀 3️⃣ Determine the rank of the matrix 🌈 We also visualize the column space in 3D: the number of independent columns defines the dimension of the plane they span. 💡 Math is more than numbers — it’s a way to explore independence, dimension, and structure. Let’s discover it together with Sciencebarbie! ✨ 👉 Don’t forget to like 👍, comment 💬, and subscribe 🔔 for more math inspiration. #Mathematics #Sciencebarbie #LinearAlgebra #MatrixMagic #MatrixRank #GaussianElimination #ColumnSpace #LearnMath #MathIsFun #STEM