Get Answers to all your Questions

header-bg qa

Please solve RD Sharma Class 12 Chapter 5 Determinants Exercise Very Short Answer Question 25 maths textbook solution.

Answers (1)

Answer: 4

Hint: Here we use basic concept of determinant of matrix

Given:

\begin{aligned} &|A|=2 \\ &\text { Find }\left|A A^{T}\right| \end{aligned}

Solution :

\begin{aligned} &\left|A A^{T}\right|=|A| \times\left|A^{T}\right| \\ &\rightarrow \text { Here }\left|A^{T}\right|=|A| \end{aligned} because both are transpose to each other

So,

\begin{aligned} &\left|A A^{T}\right|=|A| \times\left|A^{T}\right| \\ &=|A| \times|A| \\ &=(|A|)^{2} \\ &=(2)^{2} \\ &\left|A A^{T}\right|=4 \end{aligned}

Posted by

infoexpert23

View full answer

Crack CUET with india's "Best Teachers"

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