Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain Solution R. D. Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 38 maths Textbook Solution.

Explain Solution R. D. Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 38 maths Textbook Solution.

Answers (1)

Answer: m\times n

Given: If A is a matrix of order m\times n and B is the matrix such that AB^{T}and B^{T}A are both defined. Then the order of the matrix B is

Hint: compare order of matrices

Solution:

Order of the matrix A=m \times n

Order of the matrix B=p \times q

Order of the matrix B^{T}=q \times p

We are given AB^{T} exists

Number of columns in A= Number of rows in B^{T}

n=q

Also we are given B^{T}A exists

Number of columns in B^{T}= Number of rows in A

p=m

\thereforeOrder of B becomes m\times n

Posted by

infoexpert21

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