Calculate Determinant of Matrix in C++ - Get Help Now!

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The discussion focuses on calculating the determinant of a matrix in C++. The user successfully implemented a solution for 3x3 matrices but seeks guidance on generalizing the approach for n x n matrices using recursion. Key insights include the mathematical principle that the determinant of an n x n matrix can be computed by expanding along rows or columns and recursively calculating the determinants of smaller matrices. The conversation highlights the need for proper memory allocation and recursive function design in C++.

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Caesar_Rahil
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Hello...
I am trying to build a program that calculates the calculates the determinant of a matrix. IN C++
I could do that to 3x3 matrix, but I was thinking of generalizing it.
I am unable to find a way to do that, the only hint I can get from mathematics is that I can use recursion to break my matrix into smaller matrices. Still i am stumped, can anybody help me out?please
 
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Well, the determinant of a one by one matrix A is simply A[1, 1].
For an n by n matrix, you can expand along rows or columns, and proceed just as you would do by "hand". So summing over i = 1 to n, take out the first row, nth column (or nth row, first column) and calculate the determinant of the remaining matrix (which is then (n - 1) x (n - 1), of course).
 
Still didn't get it
 
What don't you get?
How to calculate a determinant?
How to program it?
What recursion is?
 
Firstly how do i declare a determinant. Since its variable, i have to allocate memory at runtime. Plus, how do i arrange for recursion as i have to specify dimension of determinant at each step??
 

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