If A and B are two matrices such that AB...

If A and B are two matrices such that AB=B and BA=A then `A^(2)+B^(2)` equals

A

2AB

B

2BA

C

A+B

D

AB

Text Solution

Verified by Experts

Topper's Solved these Questions

QUESTION PAPER 2014
WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
QUESTION PAPER 2016
WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

If A and B are two matrices such that AB = A and BA = B then B is equal to__

If Aa n dB are two matrices such that A B=Ba n dB A=A ,t h e n (A^5-B^5)^3=A-B b. (A^5-B^5)^3=A^3-B^3 c. A-B is idempotent d. none of these

If A and B are two matrices such that A + B and AB are both defined, then:

A and B be 3xx3 matrices such that AB+A+B=0 , then

If A and B are square matrices such that AB = BA then prove that A^(3)-B^(3)=(A-B) (A^(2)+AB+B^(2)) .

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.

If A and B are two square matrices such that B=-A^(-1)B A ,t h e n(A+B)^2 is equal to a. A^2+B^2 b. O c. A^2+2A B+B^2 d. A+B

if A and B are two matrices of order 3xx3 so that AB=A and BA=B then (A+B)^7=

If A, B are two square matrices such that AB = A and BA = B, then prove that B^(2) = B

If A and B are two matrices such that AB = 0, can we deduce that either A or B is a zero matrix? Illustrate by an example.

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2015-MULTIPLE CHOICE QUESTIONS

The value of lamda for which the straight line (x-lamda)/(3)=(y-1)/(2+...
Text Solution
|
if f:[0,pi//)toR is defined as f(theta)=|(theta,tantheta,1),(-tantheta...
Text Solution
|
If A and B are two matrices such that AB=B and BA=A then A^(2)+B^(2) e...
Text Solution
|
If omega is an imaginary cube root of unity, then the value of the det...
Text Solution
|
The value of 2cot^(-1)""(1)/(2)-cot^(-1)""(4)/(3) is
Text Solution
|
If the point (2costheta,2sintheta), for thetain(0,2pi) lies in the reg...
Text Solution
|
Number of points having distance sqrt5 from the straight line x-2y+1=0...
Text Solution
|
Let a,b, c, d be any four real number. Then a^(n)+b^(n)=c^(n)+d^(n) ho...
Text Solution
|
If alpha,beta are the roots of x^(2)-px+1=0 and gamma is a root of x^...
Text Solution
|
Number of irrational terms in the binomial expansion of (3^(1//5)+7^(1...
Text Solution
|
The quadratic expression (2x+1)^(2)-px+qne0 for any real x is
Text Solution
|
Let f:RtoR be defined as f(x)=(x^(2)-x+4)/(x^(2)+x+4). Then the range ...
Text Solution
|
The least value of 2x^(2)+y^(2)+2xy+2x-3y+8 for real numbers x and y i...
Text Solution
|
Let f:[-2,2]toR be a continuous function such that f(x) assumes only i...
Text Solution
|
The minimum value of costheta+sintheta+(2)/(sin2theta) for thetain(0,p...
Text Solution
|
The value of ((1+sqrt3i)/(1-sqrt3i))^(64)+((1-sqrt3i)/(1+sqrt3i))^(64)...
Text Solution
|
Find the maximum value of |z| when |z-(3)/(z)|=2, z being a complex nu...
Text Solution
|
Given that x is a real number satisfying (5x^(2)-26x+5)/(3x^(2)-10x+3)...
Text Solution
|
Let x(n)=(1-(1)/(3))^(2)(1-(1)/(6))^(2)(1-(1)/(10))^(2).............(1...
Text Solution
|
The variance of first 20 nutural numbers is
Text Solution
|