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golekjwb
Recent content by golekjwb
G
Determinant of symmetric matrix with non negative integer element
Try n=4
golekjwb
Post #2
May 14, 2012
Forum:
Linear and Abstract Algebra
G
Determinant of Symmetric Matrix
all different element
golekjwb
Post #3
May 14, 2012
Forum:
Linear and Abstract Algebra
G
Determinant of symmetric matrix with non negative integer element
Let \begin{equation*} A=% \begin{bmatrix} 0 & 1 & \cdots & n-1 & n \\ 1 & 0 & \cdots & n-2 & n-1 \\ \vdots & \vdots & \ddots & \vdots & \vdots \\ n-1 & n-2 & \cdots & 0 & 1 \\ n& n-2 & \cdots & 1 & 0% \end{bmatrix}% \end{equation*}. How can you prove that det(A)=[(-1)^n][n][2^(n-1)]? Thanks.
golekjwb
Thread
May 14, 2012
Tags
Determinant
Element
Integer
Matrix
Negative
Symmetric
Symmetric matrix
Replies: 4
Forum:
Linear and Abstract Algebra
G
Determinant of Symmetric Matrix
How to prove that the determinant of a symmetric matrix with the main diagonal elements zero and all other elements positive is not zero and different ?
golekjwb
Thread
May 12, 2012
Tags
Determinant
Matrix
Symmetric
Symmetric matrix
Replies: 2
Forum:
Linear and Abstract Algebra
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