Word problems using matrices and determinants(Hinglish)| Determinants| Grade 12| Math | Khan Academy

From the creator

In this video, we solve word problems involving system of equations using the matrix method. We first represent 2 scenarios in the form of linear equations which we then use to write matrices. We then solve AX = B for the missing matrix X for both the scenarios. To do this, we first check for consistency, then find the adjoint of matrix A before finding its inverse. We multiply inverse of A with B to find X. We get to this by premultiplying AX = B with the inverse of A. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:determinants-ncert-new/x7ce8ca9c5869750b:applications-of-determinants-and-matrices/e/use-matrices-to-solve-systems-of-equations) Timestamps: 0:00 Representing scenario 1 using matrices 2:20 Representing scenario 2 using matrices 3:30 Solving equations for scenario 1 6:10 Solving equations for scenario 2 Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Ashish Gupta

Published 2025-03-30 · Watch on YouTube ↗
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