If P is an orthogonal matrix and Q=P A P...

If `P` is an orthogonal matrix and `Q=P A P^T an dx=P^T` `A` b. `I` c. `A^(1000)` d. none of these

A

B

`A^(1000)`

C

1

D

None of these

Text Solution

Verified by Experts

Topper's Solved these Questions

MATRICES
ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos
MATRICES
ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos
MATHEMATICAL INDUCTION
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
MONOTONICITY MAXIMA AND MINIMA
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

Similar Questions

Explore conceptually related problems

If P is any square matrix, then the matrix (P+P^(T)) will be:

If P is non-singular matrix, then value of adj (P^(-1)) in terms of P is P//|P| b. P|P| c. P d. none of these

If a x^3+b x^2+c x+d is divisible by a x^2+c ,t h e na ,b ,c ,d are in a. A.P. b. G.P. c. H.P. d. none of these

If P is a 3xx3 matrix such that P^T = 2P+I , where P^T is the transpose of P and I is the 3xx3 identity matrix, then there exists a column matrix, X = [[x],[y],[z]]!=[[0],[0],[0]] such that

If a,b,c are in A.P. and a^2,b^2,c^2 are in H.P. then which of the following could and true (A) -a/2, b, c are in G.P. (B) a=b=c (C) a^3,b^3,c^3 are in G.P. (D) none of these

If the (m+1)t h ,(n+1)t h ,a n d(r+1)t h terms of an A.P., are in G.P. and m ,n ,r are in H.P., then find the value of the ratio of the common difference to the first term of the A.P.

if x = a cos^3 theta sin^2 theta and y = a cos^2 theta sin^3 theta and (x^2 + y^2)^p/(xy)^q is independent of theta , then (A) 4p=5q (B) 5p=4q (C) p+q=9 (D) pq=20

If a(p+q)^2+2b p q+c=0 and a(p+r)^2+2b p r+c=0 (a!=0) , then which one is correct? a) q r=p^2 b) q r=p^2+c/a c) none of these d) either a) or b)

If sec alpha and cosec alpha are the roots of x^2-p x+q+0, then p^2=q(q-2) (b) p^2=q(q+2) p^2q^2=2q (d) none of these

ARIHANT MATHS-MATRICES -Exercise (Questions Asked In Previous 13 Years Exam)

If P is an orthogonal matrix and Q=P A P^T an dx=P^T A b. I c. A^(100...
Text Solution
|
Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=...
Text Solution
|
Evluate int 3x^2 dx
Text Solution
|
If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...
Text Solution
|
If A^(2)-A+I=O, then A^(-1) is equal to
Text Solution
|
Let {:A=[(1,0,0),(2,1,0),(3,2,1)]:}and U1,U2,U3 be column matrices sat...
Text Solution
|
Let A = [(1,0,0), (2,1,0), (3,2,1)], and U1, U2 and U3 are columns of ...
Text Solution
|
If A= ((1,0,0),(2,1,0),(3,2,1)), U(1), U(2), and U(3) are column matri...
Text Solution
|
Let A=[{:(1,2),(3,4):}]and B = [{:(a,0),(0,b):}] where a, b are natura...
Text Solution
|
If A and B are square matrices of size nxxn such that A^2-B^2 = (A-B)(...
Text Solution
|
Let A= [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]] . If |A^2|...
Text Solution
|
Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "...
Text Solution
|
Let A be a square matrix all of whose entries are integers. Then wh...
Text Solution
|
Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identi...
Text Solution
|
Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...
Text Solution
|
Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...
Text Solution
|
The number of 3xx3 matrices A whose are ether 0 or 1 and for which t...
Text Solution
|
Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...
Text Solution
|
The number of 3xx3 matrices a whose entries are either 0 or 1 and for ...
Text Solution
|
Let P be an odd prime number and T(p) be the following set of 2xx2 mat...
Text Solution
|
Let p be an odd prime number and T(P) be the following set of 2xx2 m...
Text Solution
|