Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KCET2014MathematicsDefinite Integration

If ( A ) is a matrix of order ( 3 ), such that ( A( adj A)=10 I ), then ( | adj A|= )

Options

  1. A( 10 )
  2. B( 10 I )
  3. C( 11 )
  4. D( 100 )

Correct answer

D. ( 100 )

Step-by-step solution

Given that A ( adj A )=10 We know that, A ( adj A )=| A | So, |A|=10 Therefore, |a d j A|=|A|³⁻¹=|A|²=10²=100

Practice Definite Integration on Quantrex Academy →

More from Definite Integration

₀^1 2 x+5 x^2+3 x+2 ~d x= 2025₀^1 x^ 5 / 2 (1-x)^ 3 / 2 ~d x= 2025_ n [ 1 n^2 ^2 1 n^2 + 2 n^2 ^2 4 n^2 + 3 n^2 ^2 9 n^2 + + 1 n^2 ^2 1 ]= 2025₀^1 x Sin ⁻¹ x d x= 2025_ - 2 ^ 2 (x-[x]) d x= 2025₀^2 x^2(2-x)^5 d x= 2025If f(x)= Max x^3-4, x^4-4 , and g(x)= Min x^2, x^3 , then _ -1 ^1(f(x)-g(x)) d x= 2025_ n 2 n [ 2 n + 2 2 n + 3 2 n + + 2 ]= 2025 Full Definite Integration list All KCET PYQs