generic · 12th TN - English Medium · MATHEMATICS-VOLUME 1 · Page 39question

1.4.3 (i) Matrix Inversion Method

Chapter 1: Chapter 1 · MATHEMATICS-VOLUME 1 · EN medium

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This method can be applied only when the coefficient matrix is a square matrix and non-singular. Consider the matrix equation AX = B , … ( ) where A is a square matrix and non-singular. Since A is non-singular, A − exists and A A AA I Pre-multiplying both sides of ( ) by A − , we get A

📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 39

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This method can be applied only when the coefficient matrix is a square matrix and non-singular. Consider the matrix equation AX = B , … ( ) where A is a square matrix and non-singular. Since A is non-singular, A − exists and A A AA I Pre-multiplying both sides of ( ) by A − , we get A

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