Home
Class 12
MATHS
If A=[a(ij)] is a square matrix of even ...

If `A=[a_(ij)]` is a square matrix of even order such that `a_(ij)=i^2-j^2`, then

A

A is skew - symmetric

B

`|A|` is perfect square

C

A is symmetric and `|A|=0`

D

A is neither symmetric nor skew - symmetric

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - D) Linked Comprehension Type Questions|3 Videos

  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - E) Assertion - Reason Type Questions|3 Videos

  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - B) Objective Type Questions (One option is correct)|13 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos

Similar Questions

Explore conceptually related problems

If A = [a_(ij)] is a square matrix of order 2 such that a_(ij) ={(1," when "i ne j),(0," when "i =j):} , then A^(2) is:

If A = [a_(ij)] is a square matrix of order 2 such that a_(ij)={{:(1,"when " i ne j),(0,"when "i = j):} that A^2 is :

If A=[a_(ij)] is a square matrix such that a_(ij)=i^(2)-j^(2), then write whether A is symmetric or skew-symmetric.

If A = [a_(ij)] is a skew-symmetric matrix of order n, then a_(ij)=

Let A=[a_(ij)] be a square matrix of order n such that {:a_(ij)={(0," if i ne j),(i,if i=j):} Statement -2 : The inverse of A is the matrix B=[b_(ij)] such that {:b_(ij)={(0," if i ne j),(1/i,if i=j):} Statement -2 : The inverse of a diagonal matrix is a scalar matrix.

If A is a square matrix for which a_(ij)=i^(2)-j^(2) , then matrix A is

If A=[a_(ij)]_(3xx3) is a scalar matrix such that a_(ij)=5" for all "i=j," then: "|A|=

Given that A = [a_(ij)] is a square matrix of order 3 xx 3 and |A| = - 7 , then the value of sum_(i=1)^3a_(i2)A_(i2) where A_(ij) denotes the cofactor of element a_(ij) is: