1.2.2 Definition of inverse matrix of a square matrix
Chapter 1: Chapter 1 · MATHEMATICS-VOLUME 1 · EN medium
From your actual textbook ✓
What does your textbook say about 1.2.2 Definition of inverse matrix of a square matrix?
Now, we define the inverse of a square matrix. Definition . Let A be a square matrix of order n .If there exists a square matrix B of order n such that AB BA I n , then the matrix B is called an inverse of A . Theorem . If a square matrix has an inverse, then it is unique. Proof Let A be a square matrix order n such that an inverse of A exists. If possible, let there be two inverses B and C of A .Then, by definition, we have AB
📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 12
Read from the source
Complete lesson
Now, we define the inverse of a square matrix. Definition . Let A be a square matrix of order n .If there exists a square matrix B of order n such that AB BA I n , then the matrix B is called an inverse of A . Theorem .
If a square matrix has an inverse, then it is unique. Proof Let A be a square matrix order n such that an inverse of A exists. If possible, let there be two inverses B and C of A .Then, by definition, we have AB
Related topics
Want this shaped for your exam marks?
Get an AI answer grounded in your actual textbook — with the exact page reference.
Ask AI about this topic →