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.

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('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');

// 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)"
    ]
]
            }]
        });
    }
}

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