Let A be orthogonal and non-singular mat...

Let A be orthogonal and non-singular matrix of order n, then the determinant of matrix `(A -l_(n) )` is equal to

A

`|l_(n) -A|`

B

`|A||l_(n) -A|`

C

|A|

D

`(-1)^(n)|A| |l_(n) -A|`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If A is non-singular matrix of order 3 ,then the rank of A=

If A is non singular matrix of order 3 , then the rank of A =

Let A be an orthogonal non-singular matrix of order n, then |A-I_n| is equal to :

If A is non-singular matrix of order, nxxn,

If A is a non-singular matrix of order n, then A(adj A)=

If A is a singular matrix of order n, then A(adjA)=

If A is an invertible matrix of order n then determinant of adj(A) is equal to

If A is a non-singlular square matrix of order n, then the rank of A is

If A is a non-singular matrix of order nxxn, then : |adj*A|=

If A is a singular matrix of order n, then (adjA) is

If omega (ne1) is a cube root of unity of A=[(1+2omega^(100), omega^...
Text Solution
|
If A = [ (-5,-8,0),(3,5,0),(1,2,-1)] then A is
Text Solution
|
If A = [(3,1),(-1,2)] and l= [(1,0),(0,1)] then the correct statement ...
Text Solution
|
If A = (a(ij))(2xx2) where a(ij) = i+j then A is equal to
Text Solution
|
If A= [(1,-2),(4,5)] and f(t) =t^(2) -3t+7 then f(A) + [ (3,6),(-12,-9...
Text Solution
|
If A = [(2,-1),(-1,2)] and I is the unit matrix of order 2 then A^(2) ...
Text Solution
|
Let A be orthogonal and non-singular matrix of order n, then the deter...
Text Solution
|
The inverse of the matrix [ (5,-2),(3,1)] is
Text Solution
|