Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 5 Subquestion (iii) Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 5 Subquestion (iii) Maths Textbook Solution.

Answers (1)

best_answer

Answer: diag (37 -22 -14)

Hint:  using this formula inA, B, C and solve 2A + 3B - 5C.

Given:A = diag (2 -5 9), B = diag (1 1 -4) and\: C = diag (-6 3 4)

Here, we have to compute:2A + 3B - 5C.

Solution:

A=\begin{bmatrix} 2 &0 &0 \\ 0& -5 &0 \\ 0 & 0 & 9 \end{bmatrix},B=\begin{bmatrix} 1 & 0 &0 \\ 0 & 1 &0 \\ 0 &0 & -4 \end{bmatrix},C= \begin{bmatrix} -6 &0 & 0\\ 0 & 3 &0 \\ 0 & 0 & 4 \end{bmatrix}

2A+3B-5C=2\begin{bmatrix} 2 &0 &0 \\ 0& -5 &0 \\ 0 & 0 & 9 \end{bmatrix}+3\begin{bmatrix} 1 & 0 &0 \\ 0 & 1 &0 \\ 0 &0 & -4 \end{bmatrix}-5 \begin{bmatrix} -6 &0 & 0\\ 0 & 3 &0 \\ 0 & 0 & 4 \end{bmatrix}

                               =\begin{bmatrix} 4 &0 &0 \\ 0& -10 &0 \\ 0 & 0 & 18 \end{bmatrix}+3\begin{bmatrix} 3 & 0 &0 \\ 0 & 3 &0 \\ 0 &0 & -12 \end{bmatrix}-5 \begin{bmatrix} -30 &0 & 0\\ 0 & 15 &0 \\ 0 & 0 & 20 \end{bmatrix}

                                 =\begin{bmatrix} 4+3+30 &0+0-0 &0+0-0 \\ 0+0-0& -10+3-15 &0+0-0 \\ 0+0-0 & 0+0-0 & 18-12-20 \end{bmatrix}

                                 =\begin{bmatrix} 37 &0 &0\\ 0& -22 &0\\ 0 & 0 & -14 \end{bmatrix}

                                 = diag (37 -22 -14)
               

                         

Posted by

infoexpert27

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 12th result 2025 sees more in compartment, JNVs on top, perfect-scorers in minor subjects
anam-khan

Low score in CBSE results? Courses, career options after 12th open to you
anam-khan

CBSE class 10, 12 results: West Bengal CM Mamata Banerjee congratulates successful candidates

Latest Question