Home
Class 12
MATHS
if for any 2*2 square matrix A , A(adjA)...

if for any `2*2` square matrix A , `A(adjA)=[[8 , 0] , [0 , 8]]` then write the value of `det.A`

A

0

B

8

C

64

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
`A.adjA=|A|.I=8xx[(1,0),(0,1)]=8Irarr|A|=8`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise EXERCISE 8A (VALUE BASED QUESTIONS)|4 Videos

  • STRAIGHT LINE IN SPACE

    RS AGGARWAL|Exercise Objective Questions|19 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Objective Questions|35 Videos

Similar Questions

Explore conceptually related problems

if for any 2*2 square matrix A ,A(adjA)=[[8,00,8]] then write the value of

For a invertible matrix A, if A(adjA)=[[10, 0], [0, 10]] , then |A|=

For any square matrix of order 2, if A (adj A) = [{:(8, 0),( 0,8):}], then the value of |A| is :

For any 3xx3 matrix A if A(AdjA)=[[7,0,00,7,00,0,7]], then the value of

If A is a square matrix of order 3 with |A|=9 , then write the value of |2.adj.A| .

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

For a square matrix of order 2, if A (adj A)= [{:(8,0),(0,8):}], then |2A|=

If A is an square matrix of order 3 such that |A|=2, then write the value of |adj(adjA)|

If A is a square matrix of order 3 such that |A|=2, then write the value of adj(adjA)