This Page is Locked

Get access to this page and all premium solutions, videos, and worksheets by joining Teachoo Black.

  • βœ… 100% Ad-free learning
  • βœ… HD video solutions in Hinglish
  • βœ… Worksheets & Sample Papers
  • βœ… Step-by-step explanations
  • βœ… Access on any device
Unlock All Content (less than β‚Ή2/day)
Trusted by thousands of parents & students
Remove Ads

Transcript

Let’s dicuss each option one by one Option (a) - |〖𝑨𝑩〗^(βˆ’πŸ) |=(|𝑨|)/(|𝑩|) Solving LHS |〖𝐴𝐡〗^(βˆ’1) |=|𝐴||𝐡^(βˆ’1) | = |𝐴| 1/(|𝐡|) = (|𝐴|)/(|𝐡|) So, option (a) is correct Option (b) - |(𝑨𝑩)^(βˆ’πŸ) |=𝟏/(|𝑨||𝑩|) Solving L.H.S |γ€–(𝐴𝐡)γ€—^(βˆ’1) | = | 𝐡^(βˆ’1) 𝐴^(βˆ’1)| = | 𝑩^(βˆ’πŸ) γ€–| |𝑨〗^(βˆ’πŸ)| = 1/(|𝐡|) 1/(|𝐴|) = 𝟏/(|𝑨||𝑩|) = R.H.S So, option (b) is correct Option (c) - (𝐴𝐡)^(βˆ’1)=𝐡^(βˆ’1) 𝐴^(βˆ’1) This is a correct property. So, option (c) is correct Option (d) - (𝑨+𝑩)^(βˆ’πŸ)=𝑩^(βˆ’πŸ)+𝑨^(βˆ’πŸ) Let’s check this with the help of an example Let’s consider A = [β– (1&3@0&2)] and B = [β– (2&1@1&2)] Since L.H.L β‰  R.H.L Thus, (𝐴+𝐡)^(βˆ’1)≠𝐡^(βˆ’1)+𝐴^(βˆ’1) ∴ So, option (d) is incorrect So, the correct answer is (d)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo