Question

2.
(i) Find the value of the determinant 2
1/2
3
-1/2​

Answer 1

Answer:

| a | = -5/2

Step-by-step explanation:

$a = \binom{2 \: \: { \frac{1}{2} }}{3 \: \: { \frac{ - 1}{2} }}$

now determinant of a is

$a = det \binom{2 \: \: { \frac{1}{2} } }{3 \: \: { \frac{ - 1}{2} }}$

$a = 2 \times ( \frac{ - 1}{2} ) - 3 \times \frac{1}{2}$

$a = - 1 - \frac{3}{2}$

$a = \frac{ - 5}{2}$