DeterminantEasy
Question
If the adjoint of a 3 × 3 matrix P is 
, then the possible value(s) of the determinant of P is (are)
, then the possible value(s) of the determinant of P is (are)Options
A.- 2
B.- 1
C.1
D.2
Solution
|Adj P| = |P|2 as (|Adj (P)| = |P|n-1)
Since |Adj P| = 1 (3 - 7) - 4 (6 - 7) + 4 (2 - 1)
= 4
|P| = 2 or - 2.
Since |Adj P| = 1 (3 - 7) - 4 (6 - 7) + 4 (2 - 1)
= 4
|P| = 2 or - 2.
Create a free account to view solution
View Solution FreeMore Determinant Questions
If A = diag (2, - 1, 3), B = diag (-1, 3, 2), then A2B =...If each row of a determinant of third order of value ᐃ is multiplied by 3, then the value of new determinant is -...If a, b, c are in A.P., then the value of equals -...The determinent ᐃ = is equal to zero if...If α, β, γ, are the roots of x3 + ax2 + b = 0, then the value of is equals to-...