Question

If a matrix A = [ 1,0 2,1] , than verify that A + At is symmetric matrix.​

Answer 1

Answer:

6

7

]

(i) A+A

′

=[

1

6

5

7

]+[

1

5

6

7

]=[

2

11

11

14

]

∴(A+A

′

)

′

=[

2

11

11

14

]=A+A

′

Hence, (A+A

′

) is a symmetric matrix.

(ii) A−A

′

=[

1

6

5

7

]−[

1

5

6

7

]=[

0

1

−1

0

]

∴(A−A

′

)

′