Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please Solve R.D.Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 5 Maths Textbook Solution.

Please Solve R.D.Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 5 Maths Textbook Solution.

Answers (1)

Answer: The correct option is \text { (C), } A^{2}+B^{2}=A+B

Given:A B=A, B A=B

Solution:

\mathrm{AB}=\mathrm{A}                                                                                                                    .....(1)

\mathrm{BA}=\mathrm{B}                                                                                                                    .....(2)

Now from Equation (2),

\begin{aligned} &B \times(A B)=B \\ &\mathrm{~B}^{2} \mathrm{~A}=\mathrm{B} \end{aligned}

Again from Equation (2),

\mathrm{B}^{2} \mathrm{~A}=\mathrm{BA}

\mathrm{B}^{2}=\mathrm{B}

Now from Equation (1),

\begin{aligned} &A \times(B A)=\mathrm{A} \\ &\mathrm{A}^{2} \mathrm{~B}=\mathrm{A} \end{aligned}

Again from Equation (1),

\begin{aligned} &A^{2} B=A B \\ &A^{2}=A \end{aligned}

So,\mathrm{A}^{2}=\mathrm{A} \text { and } \mathrm{B}^{2}=\mathrm{B}

Thus,\mathrm{A}^{2}+\mathrm{B}^{2}=\mathrm{A}+\mathrm{B}

So, the option (C) is the correct option.

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

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question