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Homework Statement
Prove
det [a+p b+r c+s; d e f; g h i] = det [ a b c; d e f; g h i] + det [p r s; d e f; g h i]
Homework Equations
none
The Attempt at a Solution
i'm not sure how to prove this though its seems obviously true =S
That's a very general description of what a determinant is, but not a definition. Do you know how to calculate the determinant of a 3 x 3 matrix?A determinant is a function depending on n that associates a scalar, det(A), to an n×n square matrix A.
I don't see how this helps me tho.. I'm sorry T_T
Is there another way to prove this question other than finding the determinant for the matrices?