9th Class Math Questions Exercise 1.1 Part 1,7,8| #maths #9thclass #9thclass #9thmaths #education

Discover how to instantly identify the order (or dimension) of any matrix in just seconds! In this video, perfect for students, educators, and anyone diving into linear algebra basics, we’ll clearly explain what “order of a matrix” means and show you exact steps to determine it—whether it’s a 2×3, 5×5, or any mxn matrix. ☑️ 2. 📐 What Is the “Order” of a Matrix? Definition: the number of rows (m) × the number of columns (n). Represented as “m×n”—e.g., a 3×2 matrix has 3 rows and 2 columns. Importance: essential for identifying the size, the total number of elements (m × n), compatibility in addition/multiplication rankmath.com byjus.com +2 cuemath.com +2 youtube.com +2 . 3. 🧠 Why Order Matters Operations require matching orders: matrices can only be added or subtracted if they share the same order cuemath.com . Multiplication requires conformability: # of cols in first must equal # of rows in second; result has order (rows of A)×(cols of B) youtube.com +7 cuemath.com +7 en.wikipedia.org +7 . Defines matrix type—square, row, column, rectangular en.wikipedia.org +5 cuemath.com +5 khanacademy.org +5 . 4. 📚 Common Matrix Types by Order Row matrix: 1×n (one row) +14 +14 . Column matrix: m×1 (one column). Square matrix: n×n (equal rows & columns) cuemath.com . Rectangular matrix: m×n, with m ≠ n cuemath.com . Transpose matrix: original m×n → transpose n×m. 5. 📝 Step-by-Step: How to Find the Order of a Matrix Identify the number of horizontal rows (m). Count the number of vertical columns (n). Write the order as m×n. Multiply m × n to find total elements. Practice with examples: Example 1: A = [[3,4,9], [12,11,35]] → 2×3 → 6 elements. Example 2: B = [[2,-6,13],[32,-7,-23],[-9,9,15],[8,25,7]] → 4×3 → 12 elements youtube.com +11 +11 +11 . 6. 🎥 Watch Real-Time Examples Live demo counting rows and columns on-screen. Speed-check tip: scan edges to get counts quickly. 7. 🧩 Why It’s Important for Matrix Operations Addition/subtraction: must share the same order (m×n) +7 +7 +7 . Multiplication: first’s columns = second’s rows; result is first’s rows × second’s columns. Eg: A (2×3) × B (3×2) → result C is 2×2 cuemath.com . 8. 🧠 Common Misconceptions & FAQs “Order = number of elements?” Nope—multiple orders can yield the same count. Eg 12 elements can come from 12×1, 6×2, 4×3, etc. “Do I mix rows and columns?” Always count rows first, then columns. “Transpose changes order?” Yes—original m×n becomes n×m. 9. 🤔 Tips for Students Quickly scan top-left corner to estimate rows visually. Use “count by eyeballing separators” – efficient for complex matrices. Practice by pausing video and identifying orders on your own. 10. ✅ Summary & Key Takeaways Order = rows × columns; foundational for matrix classification and operations. Always list it as m×n—rows first. Ensure proper order compatibility before performing addition or multiplication. 11. 🚀 What to Do Next ❓ Try practice problems like determining orders and verifying addition/multiplication. ✅ Pause and apply techniques to different sample matrices. 📚 Check out linked playlists below on “Matrix Operations” and “Matrix Multiplication Tips”. 12. 📺 Related Resources & Watch More 📌 Watch next for matrix addition/subtraction: [LINK] 📌 In-depth on multiplication & conformability: [LINK] 📌 Full playlist: Linear Algebra Basics: [LINK] 13. 🙌 Engagement & CTA Like 👍 this video if it helped you grasp the concept. Subscribe 🔔 for more math tutorials, exam prep, and problem-solving guides. Comment below with your toughest matrix-related question—we’ll feature it in the next v “order of a matrix” “find the order of a matrix”, “matrix order explained”, “matrix m×n”, “determine matrix dimension”, “matrix order definition”, “matrix size”, “matrix operations tutorial”. Used naturally throughout: intro, headings, timestamps, summary, links—sup order of a matrix find order of a matrix matrix order explained matrix dimensions matrix tutorial matrix size determine matrix order find matrix dimensions short math video linear algebra basics