Home
Class 12
MATHS
If A(adiA)=5I where I is the identity ma...

If A(adiA)=5I where I is the identity matrix of order 3 , then |adjA| is equal to

A

5

B

10

C

125

D

25

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2007

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|59 Videos
  • KARNATAKA CET 2009

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If A (adj .A ) = 5I , where I is idensity martrix of order 3 , then |adj A | =

If A is a square matrix of order 3xx3 , then |KA| is equal to

If A is a square matrix of order 3 xx 3 , then |KA| is equal to

If A is any aquare matrix of order 3xx3 then |3A| is equal to

Matrix A such that A^(2)=2A-I , where I is the identity matrix, then for n ge 2, A^(n) is equal to

If I is a unit matrix of order 10 , then the determinant of I is equal to

If A= [[2,-1],[-1,2]] and I is the unit matrix of order 2 , then A^2 is equal to

Let A=[(0,1),(0,0) ] show that (a I+b A)^n=a^n I+n a^(n-1)b A , where I is the identity matrix of order 2 and n in N .

Suppose A and B be two ono-singular matrices such that AB= BA^(m), B^(n) = I and A^(p) = I , where I is an identity matrix. If m = 2 and n = 5 then p equals to

Let A be a square matrix of order 3xx3 , then |5A| =