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 determinants Exercise 5.2 Question 1 sub question 5 Maths textbook Solution.

Please Solve R. D. Sharma class 12 Chapter determinants Exercise 5.2 Question 1 sub question 5 Maths textbook Solution.

Answers (2)

Answer:\left|\begin{array}{ccc} 1 & 4 & 9 \\ 4 & 9 & 16 \\ 9 & 16 & 25 \end{array}\right|=-8

Hint: We will expand it w.r.t R_{1}

Given:\left|\begin{array}{ccc} 1 & 4 & 9 \\ 4 & 9 & 16 \\ 9 & 16 & 25 \end{array}\right|

Solution:\left|\begin{array}{ccc} 1 & 4 & 9 \\ 4 & 9 & 16 \\ 9 & 16 & 25 \end{array}\right|

Expanding w.r.t R_{1}

\begin{aligned} &=1\left|\begin{array}{cc} 9 & 16 \\ 16 & 25 \end{array}\right|-4\left|\begin{array}{ll} 4 & 16 \\ 9 & 25 \end{array}\right|+9\left|\begin{array}{cc} 4 & 9 \\ 9 & 16 \end{array}\right| \\ &=1(9 \times 25-16 \times 16)-4(4 \times 25-9 \times 16)+9(4 \times 16-9 \times 9) \\ &=(225-256)-4(100-144)+9(64-81) \\ &=-31+176-153 \\ &=176-184 \\ &=-8 \end{aligned}

Posted by

infoexpert21

View full answer

Crack CUET with india's "Best Teachers"

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

Answer:\left|\begin{array}{ccc} 1 & 4 & 9 \\ 4 & 9 & 16 \\ 9 & 16 & 25 \end{array}\right|=-8

Hint: We will expand it w.r.t R_{1}

Given:\left|\begin{array}{ccc} 1 & 4 & 9 \\ 4 & 9 & 16 \\ 9 & 16 & 25 \end{array}\right|

Solution: \left|\begin{array}{ccc} 1 & 4 & 9 \\ 4 & 9 & 16 \\ 9 & 16 & 25 \end{array}\right|

Expanding w.r.t R_{1}

\begin{aligned} &=1\left|\begin{array}{cc} 9 & 16 \\ 16 & 25 \end{array}\right|-4\left|\begin{array}{ll} 4 & 16 \\ 9 & 25 \end{array}\right|+9\left|\begin{array}{cc} 4 & 9 \\ 9 & 16 \end{array}\right| \\ &=1(9 \times 25-16 \times 16)-4(4 \times 25-9 \times 16)+9(4 \times 16-9 \times 9) \\ &=(225-256)-4(100-144)+9(64-81) \\ &=-31+176-153 \\ &=176-184 \\ &=-8 \end{aligned}

Hence,\left|\begin{array}{ccc} 1 & 4 & 9 \\ 4 & 9 & 16 \\ 9 & 16 & 25 \end{array}\right|=-8

Posted by

infoexpert21

View full answer

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