Home
Class 12
MATHS
Find the adjoint of the matrix A=[-1-...

Find the adjoint of the matrix `A=[-1-2-2 2 1-2 2-2 1]` and hence show that `A(a d j\ A)=|A|\ I_3` .

A

A

B

`A^(T)`

C

3A

D

`3A^(T)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|9 Videos
  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|19 Videos
  • MATHEMATICAL INDUCTION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|29 Videos

Similar Questions

Explore conceptually related problems

1.Find the adjoint of the matrix A= [[1,2],[3,4]]

If A=[(-1,-2,-2 ),(2, 1,-2),( 2,-2 ,1)] , show that a d j\ A=3A^T .

Find the adjoint of the matrix A=[(1,1,1),(2,1,-3),(-1,2,3)] .

The adjoint of the matrix A= [{:( 1,2),( 3,-5) :}] is

Find adjoint of the matrice in [(1, 2),( 3, 4)]

For the matrix A=[[1,-1, 1],[ 2 ,3, 0 ],[18 ,2 ,10]] , show that A(a d j\ A)=O .

find the adjoint of the matrix A=[(1,2,3),(0,5,0),(2,4,3)]

Find adjoint of the matrice in [(1,-1, 2),( 2, 3, 5),(-2, 0, 1)]

Compute the adjoint of the matrix A given by A=[[1, 4, 5], [3, 2, 6], [0 ,1 ,0]] and verify that A(a d j\ A)=|A|I=(a d j\ A)Adot

Find the adjoint of the following matrices: [(-3, 5),( 2, 4)] Verify that (a d j\ A)A=|A|I=A(a d j\ A) for the above matrices.