Examples of Scalar Matrix

  •  The matrix given below is a scalar matrix of order “2 × 2”

[Tex]A = \left[\begin{array}{cc} -6 & 0\\ 0 & -6 \end{array}\right] [/Tex]

  • The matrix given below is a scalar matrix of order “3 × 3”

[Tex]P = \left[\begin{array}{ccc} k & 0 & 0\\ 0 & k & 0\\ 0 & 0 & k \end{array}\right] [/Tex]

Scalar Matrix

Scalar matrix is a type of diagonal matrix that has all the elements the same or equal. The elements that are present other than in the diagonal are zero.

In this article, we have covered the definition of scalar matrix, its properties, formula, examples and others in detail.

Table of Content

  • Definition of Scalar Matrix
    • Condition for a Scalar Matrix
  • Examples of Scalar Matrix
  • Properties of a Scalar Matrix
  • Operation on Scaler Matrix
  • Examples on Scalar Matrix

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Definition of Scalar Matrix

A scalar matrix is a square matrix in which all of the principal diagonal elements are equal and the remaining elements are zero. It is a special case of a diagonal matrix and can be obtained when an identity matrix is multiplied by a constant numeric value....

Examples of Scalar Matrix

The matrix given below is a scalar matrix of order “2 × 2”...

Properties of a Scalar Matrix

Following are the properties of the scalar matrix...

Operation on Scaler Matrix

For any two matrices of the order m × n, let us say, A = [aij] and B = [bij] and take two scalers ‘a’ and ‘b’ Then the scalar multiplication is:...

Examples on Scalar Matrix

Example 1: Calculate the determinant of a scalar matrix given below....

FAQs on Scalar Matrix

What is a Scalar Matrix?...