Let A=[{:(5,0,-2),(3,2,-7):}]" and B=[{:...

Let `A=[{:(5,0,-2),(3,2,-7):}]" and B=[{:(4,-3,-6),(-1,0,4):}].`
Clearly, each one of A and B is a `2xx3` matrix. Find A + B

A

`[{:(-9,-3,-8),(-2, -2,-3):}]`

B

`[{:(-9,-3,-8),(2," "2,-3):}]`

C

`[{:(9,-3,-8),(2," "2,-3):}]`

D

`[{:(-9,-3,-8),(2, -2,-3):}]`

Text Solution

Verified by Experts

The correct Answer is:

C

So, A and B are comparable matrices.
`:." "A+B` is defined.
Now, `A+B=[{:(5+4,0+(-3),-2+(-6)),(3+(-1),2+0,-7+4):}]`
`=[{:(9,-3,-8),(2," "2,-3):}].`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

MATRICES
RS AGGARWAL|Exercise Exercise 5A|9 Videos
MATRICES
RS AGGARWAL|Exercise Exercise 5B|16 Videos
LINEAR PROGRAMMING
RS AGGARWAL|Exercise SECTION D|6 Videos
METHODS OF INTEGRATION
RS AGGARWAL|Exercise Objective Questions Ii|56 Videos

Similar Questions

Explore conceptually related problems

if A=[{:(1,2,-5),(-3,4,6):}]and B[{:(-2,3,-4),(1,2,3):}]' then find 2A+B.

If A=[{:(3,1,2),(1,2,-3):}]" and "B=[{:(-2," "0,4),(5,-3,2):}] , find (2A-B).

Let A=[{:(" "2,3,5),(-1,0,4):}]" and "B=[{:(4,-2,3),(2," "6,-1):}]. Verify that A+B=B+A.

if A=[{:(1,2,3),(4,5,6):}]and B=[{:(-3,-2),(0,1),(-4,-5):}], then find AB and BA ,

If A=[{:(2,-3,1),(0," "7,-9):}]" and "B=[{:(1,2,-3),(4,8,-4):}]," find "(A-B)

If A=[{:(1,0),(-1,7):}]" and "B=[{:(0,4),(-1,7):}] , find (3A^(2)-2B+I).

if 2A +B=[{:(5,-1),(3,2):}]and A-2B =[{:(1,-4),(0,5):}] then find the matrices A and B .

Let A=[{:(3," "4),(-2," "0),(7,-5):}]" and "B=[{:(2,-3),(5," "6),(-1," "8):}]. Verify that (A+B)'=A'+B'.

if A[{:(2,-3),(4,-1):}]and B=[{:(3,0),(-1,2):}], then find A matrix C such that 2A-B+3c is a unit matrix.

RS AGGARWAL-MATRICES-Exercise 5F

Let A=[{:(5,0,-2),(3,2,-7):}]" and B=[{:(4,-3,-6),(-1,0,4):}]. Clear...
Text Solution
|
Construct a 2xx3 matrix whose elements are given by a(ij)=(1)/(2)(i-...
Text Solution
|
Construct a 2xx3 matrix whose elements are given by a(ij)=(1)/(2)|-3...
Text Solution
|
If [{:(x+2y,-y),(3x,4):}]=[{:(-4,3),(6,4):}], find the values of x and...
Text Solution
|
Find the values of x and y, if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2) :}]...
Text Solution
|
If x.[{:(2),(3):}]+y.[{:(-1),(1):}]=[{:(10),(5):}], find the values of...
Text Solution
|
If [{:(x,3x-y),(2x+z,3y-w):}]=[{:(3,2),(4,7):}], find the values of w...
Text Solution
|
If [{:(x,6),(-1,2w):}]+[{:(" "4,x+y),(z+w," "3):}]=3[{:(x,y),(z,w):}],...
Text Solution
|
If A=" diag "(3" "-2" "5)" and "B=" diag "(1" "3" "-4)," find "(A+B).
Text Solution
|
Show that costheta.[{:(costheta,sintheta),(-sintheta,costheta):}]+sint...
Text Solution
|
If A=[{:(1,-5),(-3," "2),(4,-2):}]" and "B=[{:(3," "1),(2,-1),(-2," "3...
Text Solution
|
If A=[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}], then find the lea...
Text Solution
|
Find the values of x and y for which [{:(2,-3),(1," "1):}][{:(x),(y)...
Text Solution
|
Find the values of x and y for which [{:(x,y),(3y,x):}][{:(1),(2):}]...
Text Solution
|
If A=[{:(4,5),(1,8):}], show that (A+A') is symmetric.
Text Solution
|
If A=[{:(2,3),(4,5):}], show that (A-A') is skew-symmetric.
Text Solution
|
If A=[{:(2,-3),(4," "5):}]" and "B=[{:(-1,2),(0,3):}], find a matrix X...
Text Solution
|
If A=[{:(4,2),(1,3):}]" and "B=[{:(-2,1),(3,2):}], find a matrix X suc...
Text Solution
|
If (i) A=[cosalphasinalpha-sinalphacosalpha] , then verify that Aprime...
Text Solution
|
If A and B are two symmetric matrix of same order, then show that (AB-...
Text Solution
|
If f(x)=x^2-4x+1 then find f(A) when A=[[2,3] , [1,2]]
Text Solution
|