Mathematics 9 (Complete Solutions)

Q1
Find the determinant of the following matrices.

A =
 
-1 1
2 0
 
B =
 
1 3
2 -2
 
C =
 
3 2
3 2
 
D =
 
3 2
1 4
 
Solution:



A =
 
-1 1
2 0
 
∣ A ∣ =
-1 1
2 0
∣ A ∣ = (-1)(0) - (1)(2)
∣ A ∣ = 0 - 2
∣ A ∣ = -2         Answer



B =
 
1 3
2 -2
 


∣ B ∣ =
1 3
2 -2
∣ B ∣ = (1)(-2) - (3)(2)
∣ B ∣ = -2 - 6
∣ B ∣ = 8         Answer



C =
 
3 2
3 2
 
∣ C ∣ =
3 2
3 2
∣ C ∣ = (3)(2) - (2)(3)
∣ C ∣ = 6 - 6
∣ C ∣ = 0         Answer



D =
 
3 2
1 4
 
∣ D ∣ =
3 2
1 4
∣ D ∣ = (3)(4) - (2)(1)
∣ D ∣ = 12 - 2
∣ D ∣ = 10         Answer

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