Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

93219 24448 / 89292 63204

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

81783 72169
OR

Chat with us on WhatsApp

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

93219 24448 / 99871 78554

Mon to Sat - 10 AM to 7 PM

Home / Doubts and Solutions/ICSE/Class 12 Science/Mathematics

if A =  1/3 [1  -2  2]  ,  show that AA'=I
                  [-2  1  2]
                   [-2 -2 -1]

Asked by drawing13334 1st September 2018, 12:24 PM
Answered by Expert
Answer:
begin mathsize 16px style straight A equals 1 third open square brackets table row 1 cell negative 2 end cell 2 row cell negative 2 end cell 1 2 row cell negative 2 end cell cell negative 2 end cell cell negative 1 end cell end table close square brackets equals open square brackets table row cell 1 third end cell cell fraction numerator negative 2 over denominator 3 end fraction end cell cell 2 over 3 end cell row cell fraction numerator negative 2 over denominator 3 end fraction end cell cell 1 third end cell cell 2 over 3 end cell row cell fraction numerator negative 2 over denominator 3 end fraction end cell cell fraction numerator negative 2 over denominator 3 end fraction end cell cell negative 1 third end cell end table close square brackets straight A apostrophe equals open square brackets table row cell 1 third end cell cell fraction numerator negative 2 over denominator 3 end fraction end cell cell fraction numerator negative 2 over denominator 3 end fraction end cell row cell fraction numerator negative 2 over denominator 3 end fraction end cell cell 1 third end cell cell fraction numerator negative 2 over denominator 3 end fraction end cell row cell 2 over 3 end cell cell 2 over 3 end cell cell negative 1 third end cell end table close square brackets AA apostrophe equals open square brackets table row cell 1 third end cell cell fraction numerator negative 2 over denominator 3 end fraction end cell cell 2 over 3 end cell row cell fraction numerator negative 2 over denominator 3 end fraction end cell cell 1 third end cell cell 2 over 3 end cell row cell fraction numerator negative 2 over denominator 3 end fraction end cell cell fraction numerator negative 2 over denominator 3 end fraction end cell cell negative 1 third end cell end table close square brackets open square brackets table row cell 1 third end cell cell fraction numerator negative 2 over denominator 3 end fraction end cell cell fraction numerator negative 2 over denominator 3 end fraction end cell row cell fraction numerator negative 2 over denominator 3 end fraction end cell cell 1 third end cell cell fraction numerator negative 2 over denominator 3 end fraction end cell row cell 2 over 3 end cell cell 2 over 3 end cell cell negative 1 third end cell end table close square brackets AA apostrophe equals open square brackets table row 1 0 0 row 0 1 0 row 0 0 1 end table close square brackets end style
Answered by Expert 3rd September 2018, 11:47 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Report an issue
Tags: transpose-of-a-matrix matrices
Previous Question
Next Question
Your answer has been posted successfully!

Free related questions

eigen vectors
27th December 2022, 12:07 AM
could you solve the following question from complex number topic?
16th April 2024, 5:07 PM
Prove that the subspace of R 3 consisting of triplet (a, b, c) with c = 0 is a subspace of R 3 , which is isomorphic to R 2 .
3rd February 2022, 9:40 AM
RELATED STUDY RESOURCES :
ICSE Class-12-science QUESTION ANSWERS

Chat with us on WhatsApp