A square matrix whose non-diagonal elements are zero, is called a diagonal matrix.

Diagonal matrix

Square matrices are appeared with zeros. In a special case, a square matrix contains zero as non-diagonal elements but it contains elements only on principal diagonal. Due to having elements on leading diagonal and having zeros as non-diagonal elements, the square matrix is recognized as a diagonal matrix.

$M$

The matrix is having elements

${e}_{1\⁣1},{e}_{2\⁣2},{e}_{3\⁣3},\dots {e}_{m\⁣m}$only on principal diagonal but observe the elements on non-diagonal areas. All are zero elements at non-diagonal areas. Therefore, this type of matrix is called a diagonal matrix. The diagonal elements can be either equal or unequal elements.

It is simply expressed as

$M$$D$

is a square matrix of order

$5\times 5$. It is having

$25$element in five rows and five columns.

$D$

The matrix

$D$is having two types of elements. One type of elements are nonzero elements and remaining all are zeros. Nonzero elements (

$1,\u20135,7,3$and

$9$) are placed on the leading diagonal and remaining non-diagonal elements are zeros. Therefore, the matrix

$D$is known as a diagonal matrix.

The diagonal matrix

$D$is written in simple form

$D$List of most recently solved mathematics problems.

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