MDETERM function
PRO
The MDETERM
function in Jspreadsheet Formulas Pro is a tool used to calculate the matrix determinant of a square matrix. Essentially, a square matrix is a set of numbers arranged in a square grid. In mathematics, the determinant is a special number that can be calculated from this matrix. The MDETERM
function simplifies this process by automatically calculating the determinant for you.
Documentation
Returns the matrix determinant of a square matrix.
Category
Math and trigonometry
Syntax
MDETERM(matrix)
Parameter | Description |
---|---|
matrix |
The array or range containing the square matrix for which you want to calculate the determinant. The matrix must have the same number of rows and columns. |
Behavior
The MDETERM
function calculates and returns the matrix determinant of a square array. Here's how it handles other types of inputs:
- Empty cells: Empty cells within the array are treated as zeros.
- Text: If the array contains any cells with text, the
MDETERM
function will return a#VALUE!
error. - Booleans: Boolean values are treated as binary, with TRUE being equivalent to 1 and FALSE being equivalent to 0.
- Errors: If the array contains cells with error values, the
MDETERM
function will also return an error.
Common Errors
Error | Description |
---|---|
#VALUE! | This error occurs when the array contains non-numeric values such as text. |
#N/A | This error is returned when the array is not a square array (i.e., it doesn't have an equal number of rows and columns). |
Best practices
- Always ensure that your matrix is a square array. The
MDETERM
function will return an error if the matrix doesn't have an equal number of rows and columns.- Avoid non-numeric values in the array. If the array contains cells with text or error values, the
MDETERM
function will return an error.- Use the
MDETERM
function to check if a matrix is invertible. If the function returns 0, it means the matrix is not invertible.- Be cautious when interpreting the results of
MDETERM
. A determinant of zero doesn't necessarily mean the original matrix is zero or empty—it just means the matrix is singular or non-invertible.
Usage
A few examples using the MDETERM function.
MDETERM(A1:C3) returns the determinant of the 3x3 matrix located in the range A1:C3
MDETERM(A1:D4) returns the determinant of the 4x4 matrix located in the range A1:D4.
Interactive Spreadsheet Demo
<html>
<script src="https://jspreadsheet.com/v11/jspreadsheet.js"></script>
<script src="https://jsuites.net/v5/jsuites.js"></script>
<link rel="stylesheet" href="https://jsuites.net/v5/jsuites.css" type="text/css" />
<link rel="stylesheet" href="https://jspreadsheet.com/v11/jspreadsheet.css" type="text/css" />
<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Material+Icons" />
<script src="https://cdn.jsdelivr.net/npm/@jspreadsheet/formula-pro/dist/index.min.js"></script>
<div id="spreadsheet"></div>
<script>
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');
// Set the extensions
jspreadsheet.setExtensions({ formula });
// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
worksheets: [{
data: [
[
2,
3,
1
],
[
4,
1,
2
],
[
1,
5,
3
],
[
"=MDETERM(A1:C3)"
]
]
}]
});
</script>
</html>
import React, { useRef } from "react";
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/react";
import formula from "@jspreadsheet/formula-pro";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
// Set license
jspreadsheet.setLicense('MzQ5YzIzNzc3MTY0NThiZThlMzI0Nzk3MGY3OGM1N2Q5MGQ5OGNmYWU5YWY3YjlhNTZjN2MwZjc2YzhjZTY5ODg2NDk3OTVmYmE0ZGViZjllMzg5MGI4ZmI5MmI5MzQ2MjBiZWFkZjI3ZDY3Nzc0N2Y2MmNhNzM3MTdlMjI4MjQsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVM01ETXdOakV4TENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');
// Set the extensions
jspreadsheet.setExtensions({ formula });
export default function App() {
// Spreadsheet array of worksheets
const spreadsheet = useRef();
// Worksheet data
const data = [
[
2,
3,
1
],
[
4,
1,
2
],
[
1,
5,
3
],
[
"=MDETERM(A1:C3)"
]
];
// Render component
return (
<Spreadsheet ref={spreadsheet}>
<Worksheet data={data} />
</Spreadsheet>
);
}
<template>
<Spreadsheet ref="spreadsheet">
<Worksheet :data="data" />
</Spreadsheet>
</template>
<script>
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/vue";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
import formula from "@jspreadsheet/formula-pro";
// Set license
jspreadsheet.setLicense('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');
// Set the extensions
jspreadsheet.setExtensions({ formula });
export default {
components: {
Spreadsheet,
Worksheet,
},
data() {
// Worksheet data
const data = [
[
2,
3,
1
],
[
4,
1,
2
],
[
1,
5,
3
],
[
"=MDETERM(A1:C3)"
]
]
return {
data
};
}
}
</script>
import { Component, ViewChild, ElementRef } from "@angular/core";
import jspreadsheet from "jspreadsheet";
import * as formula from "@jspreadsheet/formula-pro";
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');
// Set the extensions
jspreadsheet.setExtensions({ formula });
@Component({
standalone: true,
selector: "app-root",
template: `<div #spreadsheet></div>`
})
export class AppComponent {
@ViewChild("spreadsheet") spreadsheet: ElementRef;
// Worksheets
worksheets: jspreadsheet.worksheetInstance[];
// Create a new data grid
ngAfterViewInit() {
// Create spreadsheet
this.worksheets = jspreadsheet(this.spreadsheet.nativeElement, {
worksheets: [{
data: [
[
2,
3,
1
],
[
4,
1,
2
],
[
1,
5,
3
],
[
"=MDETERM(A1:C3)"
]
]
}]
});
}
}