Browse by Stream
QnA
Home

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 10

Provide solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 10

Answers (1)

Answer:

A2B = diag(-4,3,18)

 Hint:

Use the concept of diagonal matrix.

 Given:

 A = diag(2,-1, 3) and B = diag(-1, 3, 2)

 Solution:

\begin{aligned} &A^{2}=\left[\begin{array}{ccc} 2 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & 3 \end{array}\right] \times\left[\begin{array}{ccc} 2 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & 3 \end{array}\right]=\left[\begin{array}{lll} 4 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 9 \end{array}\right] \\ &A^{2} \times B=\left[\begin{array}{lll} 4 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 9 \end{array}\right] \times\left[\begin{array}{ccc} -1 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 2 \end{array}\right]=\left[\begin{array}{ccc} -4 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 16 \end{array}\right] \end{aligned}

Posted by

Gurleen Kaur

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

When will CBSE Class 12 results 2025 be declared? Last two years' trends
anam-khan

CBSE Class 10, 12 board exams 2025 from April 7 to 11 for sports students
anam-khan

CBSE Class 12 history paper 2025 moderately difficult, tested students’ understanding

Latest Question