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# What Is a Diagonal Matrix?

**A diagonal matrix is a square matrix that has non-zero elements only in the diagonal that runs from the top left to the bottom right.** A diagonal matrix is also a symmetrical matrix.

A diagonal matrix in which all the diagonal elements are equal is called a scalar matrix. This kind of matrix is equal to the identity matrix multiplied by a scalar. Diagonal matrices have much simpler rules of addition and multiplication than general square matrices. Adding or multiplying two diagonal matrices results in another diagonal matrix, with each element equal to the sum or product of the corresponding elements in the original matrices.

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## What Is the Inverse of 2x2 Matrix?

A: The inverse of a 2x2 matrix is the matrix that results in the identity matrix when multiplied by the first matrix. The values for the inverse of a 2x2 matr... Full Answer >Filed Under: -
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## What Is an Orthogonal Matrix?

A: An orthogonal matrix is a square matrix that has a transpose identical to its inverse. The transpose of a matrix is found by swapping each element a(ij) of... Full Answer >Filed Under: -
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## What Is Nilpotent Matrix?

A: A nilpotent matrix is a square matrix with eigenvalues that are equal to zero. In general terms, this means that N ^ K = 0, where N is the square matrix, K... Full Answer >Filed Under: -
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## How Do You Determine How Many Entries Are in a Matrix?

A: To determine the number of entries in a matrix, count the number of elements inside the brackets. For example, a matrix having the elements -5, 2, 10, 4, 1... Full Answer >Filed Under: