Find the values of following determinants. |-1, 7||2, 4|

Question

Find the values of following determinants.

i. \(\begin{vmatrix} -1 & 7 \\ 2 & 4 \\ \end{vmatrix}\)

|-1, 7||2, 4|

ii \(\begin{vmatrix} 5 & 3 \\ -7 & 0 \\ \end{vmatrix}\)

iii. \(\begin{vmatrix} \frac{7}{3} & \frac{5}{3} \\ \frac{3}{2} & \frac{1}{2} \\ \end{vmatrix}\)

Answer 1

|-1, 7||2, 4| = (-1 × 4) - (7 × 2)

= -4 - 14