Saved Bookmarks
| 1. |
if a is a square matrix of order 3 such that adj a=64 find (a) |
| Answer» We know that, for a square matrix of order n,\xa0|adj (A) |= |A|n-1\xa0Here, the order of A is 3{tex}\\times {/tex}3 ,therefore n = 3Now, |adj (A) | =|A|{tex}^{3-1}{/tex}\xa0= |A|2Given, |adj (A)|= 64,Therefore,64 =|A|2{tex}\\Rightarrow{/tex}\xa0(8)2 =|A|2{tex}\\Rightarrow{/tex}\xa0|A|= ± 8 [taking square root] | |