if A is a square matrix of order 3 such that |adj A|=8  find |A|. 

Asked by science field | 2nd May, 2015, 03:09: PM

Expert Answer:

begin mathsize 14px style open vertical bar a d j space A close vertical bar equals 8 I f space A space i s space n cross times n space m a t r i x comma space t h e n space open vertical bar a d j space A close vertical bar equals open vertical bar A close vertical bar to the power of n minus 1 end exponent H e r e space A space i s space 3 cross times 3 space m a t r i x comma t h e r e f o r e comma open vertical bar a d j space A close vertical bar equals open vertical bar A close vertical bar to the power of 3 minus 1 end exponent equals open vertical bar A close vertical bar squared open vertical bar A close vertical bar squared equals 8 open vertical bar A close vertical bar squared equals 4 cross times 2 open vertical bar A close vertical bar equals 2 squared cross times 2 open vertical bar A close vertical bar equals 2 square root of 2 end style

Answered by Rashmi Khot | 4th May, 2015, 09:52: AM