Home
Class 12
MATHS
If I is unit matrix of order n, then 3I ...

If I is unit matrix of order n, then 3I will be

A

a unit matrix

B

a scalar matrix

C

a triangular matrix

D

a zero matrix

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos

  • MHT-CET 2017

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

If I is identify matrix of order two, then 3I would be which matrix ?

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

Knowledge Check

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

    A
    row matrix
    B
    zero matrix
    C
    unit matrix
    D
    not unit matrix

  • If k is a scalar and I is unit matrix of order 3, then adj(kI)=

    A
    `-k^(3)I`
    B
    `-k^(2)I`
    C
    `k^(2)I`
    D
    `k^(3)I`

  • If I_(3) is identity matrix of order 3, then I_(3)^(-1)=

    A
    `0`
    B
    `I_(3)`
    C
    `3I_(3)`
    D
    does not exist

    • Similar Questions

    Explore conceptually related problems

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

    A=([1,0,0],[0,1,1],[0,-2,4])" and if "A^(-1)=(1)/(6)[alpha A^(2)+beta A+gamma I]" when "I" is unit matrix of order "3" then the value of "alpha+beta+gamma" is "

    If A=[(2,-1),(-1,2)] and i is the unit matrix of order 2, then A^2 is equal to (A) 4A-3I (B) 3A-4I (C) A-I (D) A+I

    If I_n is the identity matrix of order n then (I_n)^-1 (A) does not exist (B) =0 (C) =I_n (D) =nI_n

    If A=[(2,-1),(-1,2)] and I is the unit matrix of order 2, then A^2 equals

    Home
    Profile