DeterminantHard
Question
If x, y, z ∈ R & ᐃ = 
= - 16 then value of x is
= - 16 then value of x isOptions
A.-2
B.-3
C.2
D.3
Solution
3ᐃ = 
= - 16
Applying R2 → R2 - 2R1 & R3 → R3 - 3R1
ᐃ =
= - 16
Applying R3 → R3 - R2
= - 16
Applying R2 → R2 - 3R1
= - 16
⇒ - 2x(x2 - 0) = - 16 → x3 = 8 ⇒ x = 2
= - 16Applying R2 → R2 - 2R1 & R3 → R3 - 3R1
ᐃ =
= - 16Applying R3 → R3 - R2
= - 16Applying R2 → R2 - 3R1
= - 16⇒ - 2x(x2 - 0) = - 16 → x3 = 8 ⇒ x = 2
Create a free account to view solution
View Solution FreeMore Determinant Questions
The determinant is equal to -...If = (x - y) (y - z) (z - x) , then:...Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all d...If A = , then adj A =...If A = (aij) is a 4 × 4 matrix and cij is the co-factor of the element aij in Det (A) , then the expression a11c11 ...