Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain Solution for RD Sharma Maths Class 12 Chapter 6 Adjoint and inverse of a Matrix Exercise very short answer type Question 6 maths textbook solution

Explain Solution for RD Sharma Maths Class 12 Chapter 6 Adjoint and inverse of a Matrix Exercise very short answer type Question 6 maths textbook solution

Answers (1)

VSQ-6

Answer: A must be invertible and \left | A \right |\neq 0

Given: A, B and C are non null square matrix of same order & AB=AC implies B = C

Hint : you must know about invertible and non-invertible matrix 

Solution : AB=AC can be write only when A is invertible\left | A \right |\neq 0

|A| \neq 0

A B=A C

Multiply both sides by A^{-1}

A^{-1} A B=A^{-1} A C

I B=I C

B=C

If Ais not invertible then A^{-1} does `nt exist then,

AB=AC

B=C

Hence, the condition of A is invertible or \left | A \right |\neq 0

Posted by

Infoexpert

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

Board Exam Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question