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
If a, b & c are non-zero real numbers, then D = =...Matrix A is such that A2 = 2A - I, where I is the identity matrix. Then for n ≥ 2, An =...From the matrix equation AB = AC, we conclude B = C provided :...If ᐃ1 = , ᐃ2 = , then the value of ᐃ1 - ᐃ2 is...If a, b, c > 0 and x, y, z R, then the determinant is equal to -...