Home
Class 12
MATHS
A is a 3 xx 3 matrix whose elements are ...

A is a `3 xx 3` matrix whose elements are from the set `{ -1, 0, 1}`. Find the number of matrices A such that `tr(AxxA^T) =3`. Where `tr(A)` is the trace of A.

A

572

B

612

C

672

D

682

Text Solution

Verified by Experts

The correct Answer is:
C

NA
Promotional Banner

Similar Questions

Explore conceptually related problems

Construct 3xx3 matrix whose elements are given by : a_(ij)=2i-3j

Construct a 3 xx2 matrix whose elements are given by a_(i j)=1/2|i-3j| .

If A is a 3xx3 matrix, whose elements are given by a_(i j)=1/3|-3i+j|,\ then write the value of a_(23) .

Let A be the set of all 3xx3 matrices of whose entries are either 0 or 1. The number of elements is set A, is

Construct a 3 xx 4 matrix, whose elements are given by: a_(i j)=1/2|-3i+j|

Construct a 3 xx 2 matrix whose elements ar given by a_(ij)=(1)/(2)(i-3j)

Let A be the set of all 3xx3 symetric matrices whose entries are either 0 or 1. The number of elements is set A, is

If A is a 3xx3 skew-symmetric matrix, then trace of A is equal to -1 b. 1 c. |A| d. none of these

Let A be the set of all 3xx3 skew-symmetri matrices whose entries are either -1,0,or1. If there are exactly three 0s three 1s, and there (-1)' s , then the number of such matrices is __________.

Let A be the set of all 3xx3 skew-symmetri matrices whose entries are either -1,0,or1. If there are exactly three 0s three 1s, and there (-1)' s , then the number of such matrices is __________.