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Determinant Calculator 4×4 + Online Solver With Free Steps
A Determinant Calculator is used to calculate a square matrix’s determinant, where Determinant represents a value with a lot of important information regarding the matrix.
This calculator can solve the determinant for a 4×4 square matrix, and it only makes it special.
What Is a Determinant Calculator 4×4?
A Determinant Calculator 4×4 is an online tool that can solve 4×4 order matrices to find out their determinants.
It is a very powerful tool, as solving determinants for the 3×3 Matrix is already so difficult. Having to solve the determinant for a 4×4 Order Matrix almost seems impossible by hand. The calculator is very easy and intuitive to use.
How To Use a Determinant Calculator 4×4?
To use a Determinant Calculator 4×4, you simply enter all the entries of your 4×4 square matrix inside the 16 input boxes available. Once done, you can simply press the “Submit” button and get results.
Use the following step-by-step guide to get the best results from this calculator:
Step 1
First, set up a problem that you want to solve the determinant for. It may be noted that this problem must have 4×4 order.
Step 2
Then you can enter all the 16 entries in the 16 input boxes.
Step 3
After that, you can follow through by pressing the Submit button to find the solution.
Step 4
Finally, if you would like to solve more questions of this sort, you can do so in the new interactable window.
Solved Examples
Example 1
Consider the given 4×4 matrix:
\[\begin{bmatrix}2 & 0 & 6 & 9 \\ 0 & 0 & 4 & 0 \\ 3 & 0 & 0 & 5 \\ 0 & 0 & -1 & 0\end{bmatrix}\]
Solve the Determinant for it.
Solution
The Determinant result for the 4×4 square matrix is given as:
\[\begin{vmatrix}2 & 0 & 6 & 9 \\ 0 & 0 & 4 & 0 \\ 3 & 0 & 0 & 5 \\ 0 & 0 & -1 & 0\end{vmatrix} = 0\]
Example 2
Consider the given 4×4 matrix:
\[\begin{bmatrix}-1 & 5 & 6 & 9 \\ 0 & 4 & 7 & 0 \\ 3 & -2 & 0 & 5 \\ 0 & 1 & -1 & -7\end{bmatrix}\]
Solve the Determinant for it.
Solution
The Determinant result is given as:
\[\begin{vmatrix}-1 & 5 & 6 & 9 \\ 0 & 4 & 7 & 0 \\ 3 & -2 & 0 & 5 \\ 0 & 1 & -1 & -7\end{vmatrix} = -485\]
Therefore, this calculator can be used to compute the determinant of a 4×4 matrix in a matter of seconds.