question_answer 5)

Evaluate the following determinants :       (i)       (ii)       (iii)     (iv)  

Answer:

(i) Let       Expanding along C1, we get             = 3 (0 ? 5) + 3 (1 ? 0)       = ? 15 + 3 = ?12 (ii)   Let           .       Expanding along C1, we get                   + 2       = 3 (1 + 6) ? 1(?4 ? 15) + 2 (8 ? 5)       = 21 + 19 + 6 = 46 (iii) Let       Expanding along R1, we get             = ? 1(0 ? 6) + 2 (? 3 ? 0)       = 6 ? 6 = 0 (iv) Let       Expanding along C1, we get             = 2 (0 ? 5) + 3 (1 + 4)       = ? 10 + 15 = 5.