https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-1/x6a634f0b79812b7f:determinants/v/inverse-matrices-and-matrix-equations 2024-10-23T11:40:14.281463186Z व्युत्क्रम आव्यूह एवं आव्यूहों के समीकरण (Inverse matrices and matrix equations) In other videos, we've seen how matrices can represent systems of equations, and we've also seen how matrices whose determinant is zero don't have an inverse. In this video, we connect this two understanding, and by doing that way we understand how we can solve systems of equations with matrices. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/70d33dec-6fad-4ad4-932c-25db18e5d102_1280_720_base.png व्युत्क्रम आव्यूह एवं आव्यूहों के समीकरण (Inverse matrices and matrix equations) In other videos, we've seen how matrices can represent systems of equations, and we've also seen how matrices whose determinant is zero don't have an inverse. In this video, we connect this two understanding, and by doing that way we understand how we can solve systems of equations with matrices. https://cdn.kastatic.org/ka-youtube-converted/JryknBlNALQ.mp4/JryknBlNALQ.mp4 450 सारणिक और आव्यूह के अनुप्रयोग https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-1/x6a634f0b79812b7f:determinants/e/writing-systems-of-equations-as-matrix-equations 2026-04-08T08:46:38.570038857Z समीकरणों के निकायों (systems of equations) को दर्शाने के लिए आव्यूह का प्रयोग करें। रैखिक समीकरणों के निकायों को किसी एकल आव्यूह समीकरण द्वारा दर्शाया जा सकता है। अभ्यास में 3 रैखिक समीकरणों के निकायों को दर्शाया गया है। Tomer Gal exercise https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:determinants-ncert-new/x7ce8ca9c5869750b:applications-of-determinants-and-matrices/v/solving-system-of-3-equations-using-determinants 2025-06-25T04:37:22.958747522Z सारणिक का उपयोग करके ३-समीकरण के एक निकाय को हल करना In this video, we bring together everything we've learnt in the chapters of Matrices and Determinants. We find the solution of a system of equations using the matrix method. 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. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw सारणिक का उपयोग करके ३-समीकरण के एक निकाय को हल करना In this video, we bring together everything we've learnt in the chapters of Matrices and Determinants. We find the solution of a system of equations using the matrix method. 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. https://cdn.kastatic.org/ka-youtube-converted/_Ws6mZX89S8.mp4/_Ws6mZX89S8.mp4 424 सारणिक और आव्यूह के अनुप्रयोग https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-1/x6a634f0b79812b7f:determinants/v/word-problems-using-matrices-and-determinants 2025-06-25T04:37:22.958747522Z शब्द समस्या: आव्यूह तथा सारणिक के अनुप्रयोग 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. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw शब्द समस्या: आव्यूह तथा सारणिक के अनुप्रयोग 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. https://cdn.kastatic.org/ka-youtube-converted/npJWY1Xbm4Q.mp4/npJWY1Xbm4Q.mp4 493 सारणिक और आव्यूह के अनुप्रयोग https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:determinants-ncert-new/x7ce8ca9c5869750b:applications-of-determinants-and-matrices/e/use-matrices-to-solve-systems-of-equations 2024-10-23T11:40:14.281463186Z समीकरणों के निकाय (systems of equations) को हल करने के लिए आव्यूह का प्रयोग करें। आव्यूह और उनके व्युत्क्रमों का प्रयोग करके रैखिक समीकरणों की किसी भी संख्या के निकायों को हल करने का अभ्यास करें। exercise