Question

10.) Matrix A= 3 3a 26. 1 2 3 is given to be symmetric, find values of a and b. Delhi 2016)​

Answer 1

Step-by-step explanation:

A=

∣

∣

∣

∣

∣

∣

∣

∣

0

3

3a

2b

1

3

−2

3

−1

∣

∣

∣

∣

∣

∣

∣

∣

Since the matrix is symmetric, the off diagonal elements need to be symmetrical about the diagonal.

So, a

12

=a

21

,a

13

=a

31

⇒2b=3

⇒b=

2

3

Also, 3a=−2

⇒a=

3

−2

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