DeterminantHard
Question
If ᐃ1 = 
and ᐃ2 = 
are given, then-
and ᐃ2 = are given, then- Options
A.ᐃ1 = 3(ᐃ2)2
B.
ᐃ1 = 3ᐃ2
ᐃ1 = 3ᐃ2C.ᐃ1 = 3(ᐃ2)2
ᐃ1 = 3(ᐃ2)2D.ᐃ1 = 3(ᐃ2)3/2
Solution
ᐃ1 = 
ᐃ2 = 
[1(x2 - ab) ] + [x(x - 0) - b(0 - 0) + b(0 - a)] + [(x(x - 0) - b(a - 0) + b(0)]
x2 - ab + x2 - ab + x2 - ab
3x2 - 3ab = 3(x2 - ab) = 3 ᐃ2
but ᐃ2 =
= x(x) - ab
ᐃ2 = (x2 - ab)
ᐃ2 = [1(x2 - ab) ] + [x(x - 0) - b(0 - 0) + b(0 - a)] + [(x(x - 0) - b(a - 0) + b(0)]
x2 - ab + x2 - ab + x2 - ab
3x2 - 3ab = 3(x2 - ab) = 3 ᐃ2
but ᐃ2 =
= x(x) - abᐃ2 = (x2 - ab)
Create a free account to view solution
View Solution FreeMore Determinant Questions
Matrix A is such that A2 = 2A - I, where I is the identity matrix. Then for n ≥ 2, An =...If F (α) = and G (β) =, then [F (α) G (β)]-1 =...Let ᐃ = , then...The value of is -...If A and B are square matrices of order 3 such that |A| = - 1, |B| = 3, then |3AB| is equal to...