Home
Class 12
MATHS
Let A be 2 x 2 matrix.Statement I adj (...

Let A be 2 x 2 matrix.Statement I `adj (adj A) = A` Statement II `|adj A| = A`

A

Statement-1is true, Statement-2 is true and Statement-2 is not correct explantion for Statement-1.

B

Statement-1 is true, Statement-2 is false.

C

Statement-1 is false, Statement-2 is true

D

Statement-1 is true, Statement-2 is true and Statement-2 is a correct explantion for Statement-1.

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE|Exercise HLP|33 Videos

  • MATRICES & DETERMINANT

    RESONANCE|Exercise EXERCISE-3|31 Videos

  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SELF PRACTIC PROBLEMS|25 Videos

  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

If A is 3x3 matrix and det adj(A)=k then det(adj2A)=

Let A be a 2xx2 matrix. Assertion (A) : adj(adjA)=A Reason (R ) : |adjA|=|A|

Knowledge Check

  • Let A be a 2xx2 matrix. Statement 1: adj(adjA)=A Statement 2: |adjA|=|A| .

    A
    Statement 1 is right
    B
    Statement 2 is right
    C
    Both statement are right and statement 2 explain statement 1
    D
    Both statement are right and statement 2 does not explain statement 1

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

    A
    Statement -1 is true, Statement-2 is true, Statement-2 is a
    correct explanation for Statement-1
    B
    Statement -1 is true, Statement - 2 is true, Statement -2 is not
    a correct explanation for Statement-1
    C
    Statement-1 is true, Statement-2 is false
    D
    Statement-1 is false, Statement-2 is true

  • adj AB -(adj B)(adj A) =

    A
    `adj A-adj B`
    B
    1
    C
    0
    D
    non of these

    • Similar Questions

    Explore conceptually related problems

    Let A be a square matrix of order n. Statement - 1 : abs(adj(adj A))=absA^(n-1)^2 Statement -2 : adj(adj A)=absA^(n-2)A

    If A is a singular matrix, then A adj (A)

    If A is a square matrix, then adj(A')-(adjA)'=

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

    If A is a singular matrix, then A (adj A) is a

    Home
    Profile