Home
Class 12
MATHS
If A=[[1, 3, 2], [3, 1, 2], [1, 2, 3]], ...

If `A=[[1, 3, 2], [3, 1, 2], [1, 2, 3]]`, then

A

`A^(-1)` exists

B

`A^(-1)` does not exists

C

A is singular

D

A is null matrix

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos

  • MHT-CET 2017

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

If A=[[1, 2, 3], [2, -1, 3], [1, 2, 3]] , then

If P=[[1,2,-3] , [3,-1,2] , [-2,1,3]], Q=[[2,3,1] ,[3,1,2] , [1,2,3]] then find the matrix R such that P+Q+R is a zero matrix

If matrix A= [(1, 2, 3),( 2, 3, 1),( 3, 1, 2)] then |adjA| is: (A) 18 (B) -18 (C) 324 (D) -324

If A xx [{:(1, 2, 3),(4, 5, 6):}] = [{:(1, 2, 3), (3, 2, 1), (3, 1, 2):}] , then the order of A is ____.

If A=[[1,2,3],[3,1,2],[2,3,1]] and B=[[-5,7,1],[1,-5,7],[7,1,-5]] prove that AB=18I_3

If A=[[0,1,3],[1,2,x],[2,3,1]] and A^(-1)=[[(1)/(2),-4,(5)/(2)],[-(1)/(2),3,-(3)/(2)],[(1)/(2),y,(1)/(2)]] . Find x,y

If A = [(2,2,1), (1,3,1), (1,2,2)] then A^-1+(A-5I) (AI)^2 = (i) 1/ 5 [[4,2, -1], [-1,3,1], [-1,2,4]] (ii) 1/5 [[4, -2, -1], [-1, 3, -1], [-1, -2,4]] (iii) 1/3 [[4,2, -1], [-1,3,1], [-1,2,4]] (iv) 1/3 [[4, -2, -1], [-1,3, -1], [-1, -2,4]]

If A = {1, 2, 3} and consider the relation R ={(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} Then, R is

Compute the indicated products.(i) [[a, b],[-b ,a]][[a,-b],[b, a]] (ii) [[1],[ 2],[ 3]][[2, 3 ,4]] (iii) [[1,-2],[ 2 ,3]] [[1 ,2, 3],[ 2, 3 ,1]] (iv) [[2, 3 ,4 ],[3, 4 ,5],[ 4, 5, 6]][[1,-3, 5],[ 0, 2, 4],[ 3, 0, 5]] (v) [[2,1],[3,2],[-1,1]] [[1, 0, 1],[-1, 2 ,1]] (vi) [[3,-1, 3],[1,0,2]] [[2 ,-3],[ 1, 0],[ 3, 1]]