Home
Class 12
MATHS
If A = [[a,0,0],[0,a,0],[0,0,a]] then |...

If `A = [[a,0,0],[0,a,0],[0,0,a]]` then ` |adj A|=`

A

`a^27`

B

`a^9`

C

`a^2`

D

`a^6`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If A=[[a,0,0],[0,a,0],[0,0,a]] then A^n='

If A = [(a,0,0),(0,a,0),(0,0,a)] , then det (Adj A) is :

Knowledge Check

  • If A= [[2,0,0],[0,2,0],[0,0,2]] then A^6=

    A
    a.6A
    B
    b.12A
    C
    c.32A
    D
    d.64A

  • If A = [[4,0,0],[0,8,0],[0,0,6]] then A^-1=

    A
    `[[2,0,0],[0,4,0],[0,0,3]]`
    B
    ` [[1/4,0,0],[0,1/8,0],[0,0,1/6]]`
    C
    ` [[1/2,0,0],[0,1/4,0],[0,0,1/3]]`
    D
    `[[0,0,4],[0,8,0],[6,0,0]]`

  • If A = [[1,0,1],[0,0,0],[1,0,1]] then A^2=

    A
    `A`
    B
    `-A`
    C
    `2A`
    D
    `-2A`

    • Similar Questions

    Explore conceptually related problems

    If A = {:[(a,0,0),(0,a,0),(0,0,a)]:} then det (Adj A) is

    If A= [[2,1,0],[0,2,1],[1, 0,2]] then |adj A|=

    If A = [[1,0,0],[0,1,0],[0,0,1]] , then A^2+2 A=

    For a 3xx 3 matrix A, if A .(adj A)=[[3,0,0],[0,3,0[,[0,0,3]] then |A|=

    If A= [[1, 0,0],[0,1, 0],[a, b,-1]] then A^2=

    Home
    Profile