diagonal malrix plz one example

Asked by | 1st Mar, 2008, 10:30: PM

Expert Answer:

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 = (d_i,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:

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

Answered by | 11th Mar, 2008, 04:07: PM

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