evaluate (solve each and every part) each determinant

67    19        21                          29      26       22                       102     18    36                    

39    13        14               (b)      25      31       27        (c)               1        3    4            

81    24        26                          63      54       46                         17        3     6

 

(d) 

12   22   32

22    32   42

32     42  52

Asked by haroonrashidgkp | 10th Apr, 2018, 08:44: PM

Expert Answer:

begin mathsize 16px style straight D equals open vertical bar table row 29 26 22 row 25 31 27 row 63 54 46 end table close vertical bar
straight C subscript 1 space minus space straight C subscript 2 space and space straight C subscript 2 space minus space straight C subscript 3
straight D equals open vertical bar table row 3 4 22 row cell negative 6 end cell 4 27 row 9 8 46 end table close vertical bar
Taking space common space 3 space from space straight C subscript 1 space and space 4 space from space straight C subscript 2 space
straight D equals 3 cross times 4 open vertical bar table row 1 1 22 row cell negative 2 end cell 1 27 row 3 2 46 end table close vertical bar
straight C subscript 1 space minus space straight C subscript 2 space
straight D equals 12 open vertical bar table row 0 1 22 row cell negative 3 end cell 1 27 row 1 2 46 end table close vertical bar
Expanding space determinant space you space will space get space answer space as space 72. end style

Answered by Sneha shidid | 11th Apr, 2018, 11:52: AM