If |adj (adj A)|=|A|^(9) square matrix A...

If `|adj (adj A)|=|A|^(9)` square matrix A is

A

3

B

4

C

2

D

5

Text Solution

Verified by Experts

The correct Answer is:

B

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

APPLICATIONS OF MATRICES AND DETERMINANTS
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (I. Choose the correct answer)|35 Videos
APPLICATIONS OF MATRICES AND DETERMINANTS
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos
APPLICATIONS OF MATRICES AND DETERMINANTS
PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.7|4 Videos
APPLICATIONS OF INTEGRATION
PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos
APPLICATIONS OF VECTOR ALGEBRA
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

Similar Questions

Explore conceptually related problems

A=[a_(ij)]_(mxxn) is a square matrix, if

A=[a_(ij)]_(mxxn) is a square matrix if …………

Knowledge Check

If |adj(adj A) | = | A|^(9) then the order of the square matrix A is

A

3

B

4

C

2

D

5

If A and B are square matrix of same order then (A-B)^(T) is:

A

A-b

B

`B^(T).A^(T)`

C

`A^(T)-B^(T)`

D

`B^(T)-A^(T)`

Similar Questions

Explore conceptually related problems

If nth-order square matrix A is a orthogonal, then |"adj (adj A)"| is

If A is a square matrix and | A | = 2, find the value of | "AA"^T|

If A is a square matrix and |A|=2, find the value of |"AA"|^(T) .

If A is order 3 square matrix such that |A|=2 , then |"adj (adj (adj A))"| is

If A is a square matrix of order 3 such that |A|=5 , then |Adj(4A)|=

If A is order 2 square matrix such that |A|=2, then |(adj(adj(adjA)))| is 512 b. 256 c. 64 d. none of these

PREMIERS PUBLISHERS-APPLICATIONS OF MATRICES AND DETERMINANTS -SOLUTION TO EXERCISE 1.8

If |adj (adj A)|=|A|^(9) square matrix A is
01:35
|
If A is a 3xx3 non -singular matrix such that "AA"^(T)=A^(T)A "and" B=...
02:56
|
A= [(3,5),(1,2)], B=adj A and C =3A, then (|adj B|)/(|C|)=
02:08
|
If A [(1,-2),(1,4)]=[(6,0),(0,6)], then A=
04:13
|
If A = [(7,3),(4,2)] ,"then" " "9I(2)-A=
02:42
|
If A = [(2,0),(1,5)]" and B"=[(1,4),(2,0)] then |adj(AB)|=
01:46
|
If P = |(1,x,0),(1,3,0),(2,4,-2)| is the adjoint of 3xx3 matrix A and ...
02:40
|
If A = [{:(3," "1,-1),(2,-2," "0),(1," "2,-1):}] "and"" "A^(-1)=[(a(11...
02:55
|
If A, B and C are invertible matrices of some order, then which one of...
02:28
|
If (AB)^(-1)=[(12,-17),(-19,27)] "and"A^(-1)=[(1,-1),(-2,3)] "then"" "...
03:45
|
If A^(T).A^(-1) is symmetric, then A^(2)=
03:33
|
If A is a non-singular matrix such that A^(-1)=[(5,3),(-2,-1)], "then"...
01:52
|
A = [((3)/(5),(4)/(5)),(x,(3)/(5))] "and" A^(T)=A^(-1), then the value...
03:15
|
If A = [(1,tan""(theta)/(2)),(-tan""(theta)/(2),1)] and AB = I(2), the...
03:50
|
If A=[[cos theta,sin theta],[-sin theta,cos theta]] and A(adj A)=[[k,0...
03:18
|
If A=[(2,3),(5,-2)] be such that lambdaA^(-1) = A, then lambda is
02:38
|
If adj A=[[2,3],[4,1]] and adj B=[[1,-2],[-3,1]] then adj (AB) is :
01:59
|
The rank of the matrix [(1,2,3,4),(2,4,6,8),(-1,-2,-3,-4)] is
02:10
|
If x^(a)y^(b)=e^(m),x^(c)y^(d)=e^(n),Delta(1)=[(m,b),(n,d)]Delta(2)=[(...
03:37
|
Which of the following is/are correct ? (i) Adjoint of a symmetric m...
03:24
|