A ,\ B are two matrices such that A B...

`A ,\ B` are two matrices such that `A B` and `A+B` are both defined; show that `A ,\ B` are square matrices of the same order.

A

the order of A and B are not same necessarily,

B

No. of columns in `A=No.` of rows in B.

C

A and B are square matrices of same order.

D

No. of rows in A=No. Of columns in B.

Text Solution

Verified by Experts

The correct Answer is:

C

N/a

Promotional Banner

Promotional Banner

Topper's Solved these Questions

MATRICES
NAGEEN PRAKASHAN|Exercise Exercise 3.1|10 Videos
MATRICES
NAGEEN PRAKASHAN|Exercise Exercise 3.2|22 Videos
MATRICES
NAGEEN PRAKASHAN|Exercise Exercise 3e|10 Videos
LINEAR PROGRAMMING
NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|9 Videos
PROBABIILITY
NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

A,B are two matrices such that AB and A+B are both defined; show that A,B are square matrices of the same order.

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

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

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

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

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

If A and B are any two square matrices of the same order than ,

If A and B are square matrices of order 3, then

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

NAGEEN PRAKASHAN-MATRICES-Exercise 3f

If F(x)=[(cos^(2)x,cosxsinx),(cosxsinx,sin^(2)x)] and the difference o...
Text Solution
|
If A=[(a,b),(b,a)] and A^2=[(alpha, beta),(beta, alpha)] then
Text Solution
|
if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?
Text Solution
|
If A and B are square matrices of same order, then which of the follow...
Text Solution
|
A ,\ B are two matrices such that A B and A+B are both defined; sho...
Text Solution
|
if A=[{:(0,1),(1,0):}]," then "A^(4)=?
Text Solution
|
If A=[{:(4,x+2),(2x-3,x+1):}] is a symmetric matrix, then x=?
Text Solution
|
If A and B are two matrices such that AB=B and BA=A, then A^2+B^2=
Text Solution
|
If A is a skew-symmetric matrix and n is odd positive integer, then A^...
Text Solution
|
If A is a symmetric matrix and ninN then A^n is
Text Solution
|