Solve by expansion by minors

Question

Evaluate |7   -5    -3|

             |-1   4     3 |      by expansion of minors.  and if able diagonal method. 

             |8     1    10|

Answer 1

The value of this 3 by 3 determinant is

8[-5•3 - 4•-3] -1[7•3 - (-1()(-3)] + 10[7•4 - 1(-5)] = 

8(-3) - 18 + 10(33) = 288...expanding along the bottom ROW.