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 29 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 29 Maths Textbook Solution.

Answers (1)

Answer: The correct option is (C) ;-6,-4,-9

Given:A=\left[\begin{array}{cc} 0 & 2 \\ 3 & -4 \end{array}\right] \text { and } k A=\left[\begin{array}{cc} 0 & 3 a \\ 2 b & 24 \end{array}\right]

Solution:

From Matrix,

\begin{aligned} &k A=\left[\begin{array}{cc} 0 & 3 a \\ 2 b & 24 \end{array}\right] \\ &\Rightarrow k A=\left[\begin{array}{cc} 0 & 2 k \\ 3 k & -4 k \end{array}\right] \\ &\Rightarrow\left[\begin{array}{cc} 0 & 2 k \\ 3 k & -4 k \end{array}\right]=\left[\begin{array}{cc} 0 & 3 a \\ 2 b & 24 \end{array}\right] \end{aligned}

Now comparing the Equations,

\begin{aligned} &-4 k=24 \Rightarrow k=-6 \\ &3 k=2 b \Rightarrow 3(-6)=2 b \\ &\Rightarrow 2 b=-18 \\ &\Rightarrow b=-9 \\ &3 a=2 k \Rightarrow 3 a=2(-6) \\ &\Rightarrow 3 a=-12 \\ &\Rightarrow a=-4 \end{aligned}

So the values are k = -6, a= -4 and b = -9

Thus, the correct option is (C).

 

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