Home
Class 12
MATHS
Let P be the set of all non-singular mat...

Let P be the set of all non-singular matrices of order 3 over R and Q be the set of all orthogonal matrices of order 3 over R. Then

A

P is proper subject of Q

B

Q is proper subset of P

C

Neither P is proper subset of Q nor Q is proper subset of P

D

`PcapQ=phi`, the void set

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-3|30 Videos
  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-4|4 Videos
  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT -11|1 Videos
  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos
  • QUESTIONS PAPER -2019

    CHHAYA PUBLICATION|Exercise WBJEE 2019|45 Videos

Similar Questions

Explore conceptually related problems

Let T & U be the set of all orthogonal matrices of order 3 over R & the set of all non-singular matrices of order 3 over R respectively. Let A = {-1, 0, 1}, then

Let A be a non singular square matarix of order 3 xx 3 . Then |adj A| is equal to

The number of all possible matrices of order 3xx3 with each entry 0 or 1 is :

Let A and B be two square matrices of order 3 and AB=O_3 , wher O_3 denotes the null matrix of order 3. Then,

If M is any square matrix of order 3 over R and if M' be the transpose of M, then adj(M')-(adjM)' is equal to

Let A be a square matrix of order 3 whose all entries are 1 and let I_3 be the identity matrix of order 3. Then the matrix A-3I_3 is

Let A be the set of all 3 xx 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0. The number of matrices in A is

A and B are non-singular matrices of same order then show that adj(AB) = (adjB) (adjA)

Find the number of all possible matrices of order 3xx3 with each entry 0 or 1. How many of these are symmetric ?

Let M_(2) be the set of all 2xx2 singular matrices of the form {:((a,a),(a,a)):} where ainRR . On M_(2) an operation @ is defined as A@B=AB for all A,BinM_(2). Show that @ is a binary operation on M_(2) .