DeterminantHard
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.
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