I am reading a book on Linear algebra. The following problem was presented in the first chapter of the book concerning Determinants:
In other words, if we consider each row in the matrix to be a number in decimal and if all the rows taken as such are divisible by k then the determinant is also divisible by k.
But how to do go about proving this?
I verified it with a simpler 2x2 matrix:
So it appears to apply to any matrix of any order. I have no idea how you go about demonstrating (proving) that?
In other words, if we consider each row in the matrix to be a number in decimal and if all the rows taken as such are divisible by k then the determinant is also divisible by k.
But how to do go about proving this?
I verified it with a simpler 2x2 matrix:
So it appears to apply to any matrix of any order. I have no idea how you go about demonstrating (proving) that?
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