If A is invertible and det A =5, find det adjA. Given, order of A=3.
 

Asked by Navya Benny | 2nd Sep, 2015, 07:07: PM

Expert Answer:

G i v e n space t h a t space A space i s space i n v e r t i b l e space a n d space open vertical bar A close vertical bar equals 5 T h e space o r d e r space o f space t h e space d e t e r m i n a n t space i s space 3. W e space k n o w space t h a t space open vertical bar a d j A close vertical bar equals open vertical bar A close vertical bar to the power of n minus 1 end exponent T h u s comma space open vertical bar a d j A close vertical bar equals 5 to the power of 3 minus 1 end exponent equals 5 squared equals 25. space

Answered by Vimala Ramamurthy | 3rd Sep, 2015, 09:00: AM