Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need Solution for R .D. Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 25 Maths Textbook Solution.

Need Solution for R .D. Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions  Question 25 Maths Textbook Solution.

Answers (1)

Answer: The correct option is (A).

\frac{1}{2}\left(A+A^{\prime}\right)=\left[\begin{array}{ccc} 2 & 2 & -4 \\ 2 & 3 & 4 \\ -4 & 4 & 2 \end{array}\right]

Given:A=\left[\begin{array}{ccc} 2 & 0 & -3 \\ 4 & 3 & 1 \\ -5 & 7 & 2 \end{array}\right]

Solution:

Then A^{\prime}=\left[\begin{array}{ccc} 2 & 4 & -5 \\ 0 & 3 & 7 \\ -3 & 1 & 2 \end{array}\right]

As the sum is expressed as,

\begin{aligned} B &=\frac{1}{2}\left(A+A^{\prime}\right) \\ &=\frac{1}{2}\left[\left[\begin{array}{ccc} 2 & 0 & -3 \\ 4 & 3 & 1 \\ -5 & 7 & 2 \end{array}\right]+\left[\begin{array}{ccc} 2 & 4 & -5 \\ 0 & 3 & 7 \\ -3 & 1 & 2 \end{array}\right]\right] \\ &=\frac{1}{2}\left[\begin{array}{ccc} 4 & 4 & -8 \\ 4 & 6 & 8 \\ -8 & 8 & 4 \end{array}\right] \\ &=\left[\begin{array}{ccc} 2 & 2 & -4 \\ 2 & 3 & 4 \\ -4 & 4 & 2 \end{array}\right] \end{aligned}

So, the correct option is (A).

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

CBSE Class 12 result verification 2024 application out at cbse.gov.in; last date, fees
anam-khan

CBSE results 2024 later for 102 students over fake certificates; board issues show cause notice
anam-khan

What after CBSE Class 12 results 2024? From CUET UG to JEE Advanced, all you need to know

Latest Question