Question

If A= [aij] 3x3 i+2j

​

Answer 1

Answer:

Step-by-step explanation:

Given:  

A=[a  

ij

​  

]  

(3×3)

​  

 

where, a  

ij

​  

=i  

2

−j  

2

 

∴a  

ij

​  

=0 if i=j

Now,

a  

12

​  

=1  

2

−2  

2

=−3

a  

13

​  

=1  

2

−3  

2

=−8

a  

21

​  

=2  

2

−1  

2

=3

a  

23

​  

=2  

2

−3  

2

=−5

a  

31

​  

=3  

2

−1  

2

=8

a  

32

​  

=3  

2

−2  

2

=5

∴A=  

⎣

⎢

⎢

⎡

​  

 

0

3

8

​  

 

−3

0

5

​  

 

−8

−5

0

​  

 

⎦

⎥

⎥

⎤

​  

 

Here, A  

T

=−A

∴ A is a skew-symmetric matrix.