Question

digonal matrix definition​

Answer 1

a matrix having non-zero elements only in the diagonal running from the upper left to the lower right.

Answer 2

Answer:

In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero. The term usually refers to square matrices. An example of a 2-by-2 diagonal matrix is {\displaystyle {\begin{bmatrix}3&0\\0&2\end{bmatrix}}} {\displaystyle {\begin{bmatrix}3&0\\0&2\end{bmatrix}}}; the following matrix is a 3-by-3 diagonal matrix: {\displaystyle {\begin{bmatrix}6&0&0\\0&7&0\\0&0&19\end{bmatrix}}} {\displaystyle {\begin{bmatrix}6&0&0\\0&7&0\\0&0&19\end{bmatrix}}}. An identity matrix of any size, or any multiple of it, will be a diagonal matrix.

Step-by-step explanation: