Matrix Determinant Calculator



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Introduction to matrix determinant calculator

A matrix determinant calculator is an online tool to calculate the determinant of the matrix to find the scalar value. It uses the expansion method to find a single value of a square matrix. It also uses the reduction method and finds the scalar value.

We usually apply addition, subtraction, and multiplications in matrix algebra on the matrices. The determinant is necessary to calculate the unique solution of the system of nonlinear equations. That’s why we introduce matrix determinant calculator 3x3 with steps that can easily calculate determinants using both methods of expansion and reduction.

Formula used by matrix determinant formula calculator

This matrix determinant calculator with steps uses two formulas to calculate the determinant of a matrix of order 2, 3 or 4. These are:

  1. The determinant plays an important role to solve the system of linear equations and to find the inverse of matrix, then the determinant of 2×2 matrix is:

    $$ A \;=\; \begin{bmatrix} a & b \\ c & d \end{bmatrix} $$ $$ |A| \;=\; \begin{vmatrix} a & b \\ c & d \end{vmatrix} \;=\; (a \times c) \;-\; (b \times d) $$
  2. If A is the determinant of the matrix A than the determinant for 3×3 matrix.

    $$ \begin{bmatrix} a & b & c \\ d & e & f \\ g & h & i \\ \end{bmatrix} $$ $$ \begin{vmatrix} a & b & c \\ d & e & f \\ g & h & i \\ \end{vmatrix} $$ $$ |A| \;=\; a \begin{vmatrix} e & f \\ h & i \end{vmatrix} \;-\; b \begin{vmatrix} d & f \\ g & i \end{vmatrix} \;-\; c \begin{vmatrix} d & e \\ g & h \end{vmatrix} $$
  3. The determinant for 4-by-by matrix can be solved by reducing its row of a column or reducing the matrix to triangular form.

How to use the matrix 4x4 determinant calculator?

This determinant matrix calculator can be used by following below steps:

  1. In the first step, you need to enter the number of rows and columns for the matrix.
  2. Now put the values of all elements of the matrix.
  3. Or you can use the random button to select the random matrix.
  4. Now click on the calculate button.

You will get the solution within a few seconds of clicking on the calculate button. Determinant of a matrix calculator will give you a step-by-step solution so that you can use to learn and practice.

Why use determinant matrix calculator?

In mathematics, the matrix is important to solve the system of linear equations. Some operations are applied to solve a system of linear equations. So, the determinant is an important operation. You can use the matrix determinant solver to solve many problems.

While you are computing the determinant of the higher-order matrix, you cannot solve it with expansion only. You have to reduce the order of the matrix by using a reduced echelon form, which is a tricky procedure.

So there is a need for a determinant of 4x4 matrix calculator with steps that can easily reduce the demand for the matrix. That’s why you need to use a matrix determinant finder that is helpful for you to find the determinant of the 2x2 matrix.

Benefits of using determinant calculator with steps

The determinant of a matrix is a scalar value calculated from a square matrix. It is helpful to find a unique solution to the system of equations. The matrix determinant calculator with variables is useful for finding this solution because it can handle higher-order matrices easily. Some other benefits of this tool are given as follows:

  1. It provides a step-by-step explanation of the matrix determinant so that you can understand every single step to find the determinant of the 3x3 matrix.
  2. It saves your time by computing determinants quickly and efficiently.
  3. Matrix Determinant Formula Calculator is easy for you because of the simple and unique interface.
  4. It allows you to choose random values for the matrix so that you can practice with random examples and find the determinant of the 4x4 matrix.
  5. Matrix determinant calculator gives a step-by-step solution that helps understand every step.

How to find determinant of 3x3 matrix calculator?

It is simple and easy to find determinant of matrix calculator. There are two ways through which you can access it.

  1. Search on Google or any other Search Engine by typing matrix determinant calculator with steps and find our tool from results.
  2. Open and find this "determinant of a 3x3 matrix calculator" from here.

Other Related Tools

There are other useful matrix calculators on this website which you can use for free. These tools are

Frequently Asked Questions

Is determinant calculator 3x3 with steps accurate?

Yes, this determinant of a matrix calculator is tested and approved by senior mathematicians. You can use this tool as it provides accurate results.

Do determinant of 4x4 matrix calculator with steps provide free steps?

Yes, matrix determinant solver provide step by step results for free. You can use this tool for learning and practice online.

Alan Walker

Hamza Haroon

Last Updated April 05, 2022

I am a Content writer & Content Creator. I like writing content on different topics. Besides writing, I am an SEO-ASO-SMM specialist and Football Lover.