Question
Sat March 01, 2008 By:

diagonal malrix plz one example

Expert Reply
Tue March 11, 2008

In linear algebra, a diagonal matrix is a square matrix in which the entries outside the main diagonal are all zero. The diagonal entries themselves may or may not be zero. Thus, the matrix D = (di,j) with n columns and n rows is diagonal if:

d_{i,j} = 0 \mbox{ if } i \ne j  \qquad \forall i,j \in
\{1, 2, \ldots, n\}

 

For example, the following matrix is diagonal:

\begin{bmatrix}
1 & 0 & 0\\
0 & 4 & 0\\
0 & 0 & -3\end{bmatrix}.
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