Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
be written as P+Q where P is a symmetric matrix and Q is skew symmetric matrix. If det(Q) = 9, then the modulus of the sum of all possible values of P determinant of is equal to :
Text Solution
Verified by ExpertsThe correct answer is:
A
and 
and 
As, det(Q) = 9
⇒ (a − 3) 2 = 36
⇒ a = 3 ± 6
∴ a = 9,−3
for a=-3
for a=9
∴ Modulus of the sum of all possible values of det. (P) = | − 36| + |0| = 36 Ans. Option is correct
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