Question

If A = [ 10 2 k + 5   3 k 3 k + 5 ] is a symmetric matrix, the value of k is _______.

Options :

  1. 8

  2. 5

  3. -0.4

  4. (1+1561)/12

Show Answer

Answer :

8

Solution :

A = [ 10 2 k + 5   3 k 3 k + 5 ]

A = [ 10 3 k     3   2 k + 5 k + 5 ]

Both the matrix will be equal when the elements of both matrices are the same.

Hence, on comparingwe get

2k + 5 = 3k - 3

k = 8

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