Matrices & Determinants | Find Matrix A from a Matrix Equation | HSC Higher Math | Chamak

Matrices & Determinants | Find Matrix A from a Matrix Equation | Chamak English Version Academic & Admission Coaching In this class clip from Chamak, we solve a classic Matrices & Determinants problem step by step: If the column matrix [4, 1, 3] multiplied by A equals the 3×3 matrix with rows [-4, 8, 4], [-1, 2, 1] and [-3, 6, 3], then determine the matrix A. 📌 WHAT YOU WILL LEARN IN THIS VIDEO How to find the order of an unknown matrix using the rule for matrix multiplication: (3×1) × (1×n) gives a 3×n matrix, and the result is 3×3, so A must be 1×3 How to assume A = [x y z] and multiply it by the column matrix How to equate corresponding entries of two equal matrices How to solve for x, y and z and write the final matrix How to verify your answer by multiplying back ✏️ SOLUTION AT A GLANCE Let A = [x y z] Then the product has rows [4x 4y 4z], [x y z] and [3x 3y 3z]. Comparing with the given matrix: x = -1, y = 2, z = 1 Therefore, A = [-1 2 1] 💡 KEY IDEA Always find the order of the unknown matrix first. Once the order is clear, the rest of the problem becomes simple equation solving. 🎓 STUDY WITH CHAMAK Chamak offers online and offline batches, recorded classes, weekly tests, model tests, chapter-wise lecture sheets and personal mentorship. Class 11-12 is available at both branches (All Subjects or All Science Subjects). 📍 CHAMAK BRANCHES Shiddheswari Branch 63/1-E, Shiddheswari Road, Ramna, Dhaka - 1217 📞 01822870887 | 01632224395 Banasree Branch House#28, Block-A, Road-1, Banasree, Rampura, Dhaka - 1219 📞 01822870887 | 01315334826 Guardians and students are welcome to call the branch office for batch details, routine and admission support. 🔗 Facebook: facebook.com/chamakversion 👍 If this helped you, like the video, subscribe to the channel, and share it with a friend who is learning matrices. #Matrices #MatricesAndDeterminants #HigherMath #HSCMath #HSCHigherMath #ChamakEV #ChamakEnglishVersion #MathSolution