Does anyone know how to solve a determinant using products of determinants?

Question

phi · Answer

do you mean as in
$$ det A = a_{11} C_{11} +a_{12} C_{12}+...+a_{1n} C_{1n} $$
where the C's are co-factors = det of an n-1 x n-1 submatrix

dls · Answer

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like this one..is the question..I have to find the value of this determinant,the best way I am told to do this is break into product of two determinants..

phi · Answer

Your matrix is symmetric, which seems useful.  Let me think about it.

phi · Answer

the property they are suggesting you use is
det(AB)= det(A)*det(B)

the trick is to factor your matrix into A*B  or A*A_transpose, if you want to use this property

dls · Answer

yup,A*B but how..it seems so difficult to me

dls · Answer

@terenzreignz @ganeshie8

ganeshie8 · Answer

u knw how to multiply two determinants right ?

ganeshie8 · Answer

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