Home
Class 12
MATHS
if A and B are square matrices of same ...

if A and B are square matrices of same order such that A = and B = B, where A denotes the conjugate transpose of A, then `(AB-BA)* is equal to

A

null matrix

B

`AB-BA`

C

BA-AB

D

none of these

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 3|16 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 4|9 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

Similar Questions

Explore conceptually related problems

If the square matrices A and B are such that AB=A and BA=B, then

If A and B are two square matrices of the same order, then A+B=B+A.

Knowledge Check

  • If A and B are square matrices of same order, then

    A
    `A-B=B-A`
    B
    A+B=B-A
    C
    `A+B=B+A`
    D
    `AB=BA`

  • If A and B are square matrics of the same order then (A+B)^2=?

    A
    `A^2+2AB+B^2`
    B
    `A^2+AB+BA+B^2`
    C
    `A^2+2BA+B^2`
    D
    none of these

  • If A and B are square matrics of the same order then (A-B)^2=?

    A
    `A^2-2AB+B^2`
    B
    `A^2-AB-BA+B^2`
    C
    `A^2-2BA+B^2`
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    If A and B are square matrices of the same order such that B=-A^(-1)BA, then (A+B)^(2)

    If A and B are symmetric matrices of same order, then AB-BA is a

    If A and B are square matrices of the same order such that AB=A and BA=B ,then (A^(2)+B^(2))=?

    If A and B are square matrics of the same order then (A+B)(A-B)=?

    If A and B are square matrices of the same order and AB=3I , then A^(-1)=

    Home
    Profile