# Answer to Question #41339 in Linear Algebra for irebami

Question #41339

Compute the determinant of :

âˆ£âˆ’2âˆ’3âˆ£

âˆ£1 4âˆ£

a. 5

b. -5

c. 4

d. -4

âˆ£âˆ’2âˆ’3âˆ£

âˆ£1 4âˆ£

a. 5

b. -5

c. 4

d. -4

Expert's answer

The determinant of the matrix 2\times 2 can be found using the rule

| a b |

| c d | = ad-bc.

Therefore we have

âˆ£−2 −3âˆ£

âˆ£1 4âˆ£=-8+3=-5

Answer: b.

| a b |

| c d | = ad-bc.

Therefore we have

âˆ£−2 −3âˆ£

âˆ£1 4âˆ£=-8+3=-5

Answer: b.

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