How to Calculate Determinants for a Matrix with Linear Algebra?

AI Thread Summary
To calculate the determinant of the given nxn matrix A_n, where the elements are defined as a_ik = i + k, one must first understand the basic properties of determinants in linear algebra. For n=1, the determinant D_1 is simply the value of the single element in the matrix. For larger matrices, techniques such as cofactor expansion or row reduction can be employed to compute the determinant. It is recommended to explore resources specifically focused on linear algebra for a deeper understanding. Engaging with a community or forum dedicated to linear algebra can also provide valuable insights and assistance.
Perrry
Let \begin{gather*}A_n\end{gather*} be an nxn matrix with the matrixelement \begin{gather*}a_ik\end{gather*}=i+k, i, k = 1, ... ,n. Decide for every value the n-determinant \begin{gather*}D_n\end{gather*} = det(\begin{gather*}A_n\end{gather*}). Don´t forget the value of n=1.

We are two guys here at home that don´t get it right. What shall we start with? We are both newbies on this!

Thanks in advance

Perrry
 
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There is a place called 'Linear & Abstract Algebra' for such threads.
 

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