If A is 3xx3 matrix and u is a vector. I...

If A is `3xx3` matrix and u is a vector. If Au and u are thogonal for all real u, then matrix A is a

A

singular

B

non-singular

C

symmetric

D

skew-symmetric

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

PRODUCT OF VECTORS
ARIHANT MATHS ENGLISH|Exercise JEE Type Solved Examples: Passage Based Type Questions|3 Videos
PRODUCT OF VECTORS
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|12 Videos
PROBABILITY
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|54 Videos
PROPERTIES AND SOLUTION OF TRIANGLES
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

If 60 is a factor of u, is 18 a factor of u?

If A is a 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are both defined, then order of B is

If A is 3xx3 matrix and |A|=4 , then |A^(-1)| is equal to

If A is a matrix of order 3xx4 and B is a matrix of order 4xx3 , find the order of the matrix of A Bdot

Let A be a 3 xx 3 diagonal matrix which commutes with ever 3xx3 matrix. If det (A) = 8 , then tr A is

For a 3xx3 matrix A if |A|=4 , then find |AdjA|

If A is a matrix of order 3xx3 , then |3A| is equal to………

ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)

If A is 3xx3 matrix and u is a vector. If Au and u are thogonal for al...
Text Solution
|
Let O be the origin and let PQR be an arbitrary triangle. The point S ...
Text Solution
|
Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...
Text Solution
|
Let O be the origin, and O X , O Y , O Z be three unit vectors ...
Text Solution
|
Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...
Text Solution
|
Let vec a , vec b and vec c be three non-zero vectors such that no ...
Text Solution
|
If vec a , vec ba n d vec c are unit vectors satisfying | vec a- v...
Text Solution
|
The vector(s) which is/are coplanar with vectors hat i+ hat j+2 hat...
Text Solution
|
Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...
Text Solution
|
Two adjacent sides of a parallelogram A B C D are given by vec A B=...
Text Solution
|
Let P,Q R and S be the points on the plane with position vectors -2hat...
Text Solution
|
If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...
Text Solution
|
If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...
Text Solution
|
The edges of a parallelopiped are of unit length and are parallel to ...
Text Solution
|
Let two non-collinear unit vectors veca and vecb form an acute angle. ...
Text Solution
|
Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular...
Text Solution
|
The number of distinct real values of lambda , for which the vectors...
Text Solution
|
Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...
Text Solution
|
Let vec A be a vector parallel to the line of intersection of plan...
Text Solution
|
Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...
Text Solution
|
The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk an...
Text Solution
|