Home
Class 12
MATHS
Let A be the2xx2 matrix Find |adj(A)| i...

Let A be the`2xx2` matrix Find |adj(A)| if determinant of A Is 9

Text Solution

Verified by Experts

The correct Answer is:
D

`because abs(A) =2`
`and B = 9A^(2)" " (given)`
`therefore abs(B) = abs(9A^(2)) = 9^(2) abs(A )^(2)`
`= 81 xx4 = 324 rArr abs(B^(T)) = abs(B) = 324`
Hence, Statement-1 is false but Statement-2 is true.
Promotional Banner

Similar Questions

Explore conceptually related problems

Let A be the the square matrix of order 3 and deteminant of A is 5 then find the value of determinant of adj(A)

Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(adjA) = abs(A)

If 4,-3 are the eigen values of a 2xx 2 matrix A and |A|=6 , then the eigen values of adj A are

If d is the determinant of a square matrix A of order n , then the determinant of its adjoint is

If A is a 3x3 matrix and B is its adjoint matrix the determinant of B is 64 then determinant of A is

If determinant of A = 5 and A is a square matrix of order 3 then find the determinant of adj(A)

Let a be a 2xx2 matrix with non-zero entries and let A^(2)=I , where I is a 2xx2 identity matrix. Define Tr(A)= sum of diagonal elements of A and |A| = determinant of matrix A. Statement 1 : Tr (A) = 0 Statement 2 : |A|=1

If the determinant of the adjoint of a (real) matrix of order 3 is 25, then the determinant of the inverse of the matrix is

If each element of a 3xx3 matrix A is multiplied by 3 , then the determinant of the newly formed matrix is :

If the adjoint of a 3xx3 matrix P is [(1,4,4),(2,1,7),(1,1,3)] then the possible value (s ) of the determinant of P is :