If A and B are square matrices of the sa...

If A and B are square matrices of the same order , then find (A+B)(A-B).

Text Solution

Verified by Experts

The correct Answer is:

`A^(2)-AB+BA-B^(2)`

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

MATRICES
ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part II (Multiplication of Matrices (Matrix Multiplecation) Short Answer Type Questions |16 Videos
MATRICES
ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part III (Transpose of a Matrix ,Symmetric and Skew -symmetric Matrices (Very Short Answer Type Questions)|14 Videos
MATRICES
ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE (Part IMatrix and Its Types ) Short Answer Type Questions |1 Videos
LINEAR PROGRAMMING
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos
PROBABILITY
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)|17 Videos

Similar Questions

Explore conceptually related problems

If A and B are two square matrices of same order, then (A+B)^2=A^2+2AB+B^2 can hold if and only if

If A, B are symmetric matrices of same order, then find AB-BA .

A+B=B+A , if A and B are matrices of the same order .

A and B are square matrices of the same order, prove that : if A,B and AB are all symmetric, then AB-BA =0

A and B are square matrices of the same order, prove that :If A,B and AB are all skew symmetric then AB+BA=0

If A and B are invertible matrices of the same order, then prove that (AB)^(-1)=B^(-1)A^(-1)

If A and B are square matrices of same order, then show by means of an example that AB ne BA in general.

If A and B are symmetric matrices of the same order , then prove that following matrices are skew symmetric matrix : (i) AB' -BA' (ii) AB- BA

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

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

ARIHANT PUBLICATION-MATRICES -QUESTIONS FPR PRACTICE Part II (Multiplication of Matrices (Matrix Multiplecation) Very Answer Type Questions

If X(mxx3)Y(pxx4)=Z(2xxb) , for three matrices X,Y and Z , then find t...
03:01
|
If A and B are matrices of the same order and AB=BA, Then prove thatA...
02:19
|
If A and B are square matrices of the same order , then find (A+B)(A-...
01:41
|
If A is square matrix such that A^(2)=A, then write the value of (I+A...
03:25
|
If the matrix A=[{:(2,-2),(-2,2):}] and A^(2)=PA , then write the valu...
03:47
|
If A=[{:(alpha,0),(1,1):}]"and"B=[{:(1,0),(5,1):}] show that for no va...
03:03
|
If [2x , 3][{:(1,2),(-3,0):}],[{:(x),(8):}]=O then find the value of ...
02:28
|
Find x, so that [{:(1,x,1):}][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(...
05:02
|
If [{:(1,2,3):}]A=[(3,4)], then what is the order of the matrix A ?
01:32
|
If [{:(3,2),(7,x):}][{:(5,-2),(-7,y):}]=[{:(1,0),(0,1):}] then find th...
03:50
|
Write the matrix product AB, if A=[{:(1,2),(3,4):}] and B=[{:(2,0),(0,...
01:48
|