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1 answer:
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First multiply them together
![\left[\begin{array}{ccc}a-6&2&ab\\2&1&5b\\-3&1+3b&2\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da-6%262%26ab%5C%5C2%261%265b%5C%5C-3%261%2B3b%262%5Cend%7Barray%7D%5Cright%5D%20)
A symmetric matrix is where the transpose is equal to original matrix.
This means row n = column n
Looking at row1 = column1 ----> ab = -3
Looking at row2 =column2 ----> 5b = 1+3b
Solve those 2 equations for a,b
b = 1/2
a = -6
A symmetric matrix is where the transpose is equal to original matrix.
This means row n = column n
Looking at row1 = column1 ----> ab = -3
Looking at row2 =column2 ----> 5b = 1+3b
Solve those 2 equations for a,b
b = 1/2
a = -6