MUNIT function

PRO

The MUNIT function in Jspreadsheet Formulas Pro is used to create a unit matrix of a specified size. A unit matrix, also known as an identity matrix, is a special type of square matrix where all the elements of the principal diagonal are ones and all other elements are zeros. When you input a number into the MUNIT function, it generates a unit matrix of that size. For instance, MUNIT(3) will generate a 3x3 unit matrix.

Documentation

Returns the Unit matrix for a given size.

Syntax

MUNIT(size)

Parameter	Description
`size`	The size of the square unit matrix to return. Size is the number of rows (or columns) in the resulting matrix.

Behavior

The MUNIT function generates a unit matrix, which is a square matrix with ones on the diagonal and zeros elsewhere. The size of the matrix is determined by the input argument, which should be a positive integer. The function handles different types of inputs in the following ways:

Empty cells: The MUNIT function requires an input argument. If no argument is provided, or the argument is an empty cell, the function will return an error.
Text: If the input argument is text, the function will return an error.
Booleans: Boolean values are treated as numbers. Therefore, TRUE is regarded as 1 and FALSE as 0.
Errors: If the input argument is an error, the MUNIT function will propagate that error.
Numbers: If the input argument is a positive integer, the function will generate a unit matrix of the corresponding size. If the number is not an integer or is negative, the function will return an error.

Common Errors

Error	Description
#VALUE!	This error occurs when the input argument is not a positive integer. This includes negative numbers, non-integer numbers, text, booleans, and empty cells.
#N/A	This error occurs when the input argument is an error. The `MUNIT` function will propagate any errors in its input.

Best practices

Always ensure that the input argument to the MUNIT function is a positive integer. Other types of inputs will result in an error.

Be aware that the MUNIT function generates a square matrix. The size of the matrix is determined by the input argument, and the matrix will have that number of rows and columns.

Use the MUNIT function when you need a unit matrix for mathematical operations. The function is useful in linear algebra, particularly for operations involving identity matrices.

Remember that the MUNIT function will propagate any errors in its input. Always check your input arguments to avoid unexpected errors.

Usage

A few examples using the MUNIT function.

MUNIT(3) returns [[1,0,0],[0,1,0],[0,0,1]]  
MUNIT(4) returns [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]

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: [
    [
        "Matrix Size",
        "Formula",
        "Result"
    ],
    [
        3,
        "=MUNIT(A2)",
        "[[1,0,0],[0,1,0],[0,0,1]]"
    ],
    [
        4,
        "=MUNIT(A3)",
        "[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]"
    ],
    [
        2,
        "=MUNIT(A4)",
        "[[1,0],[0,1]]"
    ]
]
  }]
});
</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 = [
    [
        "Matrix Size",
        "Formula",
        "Result"
    ],
    [
        3,
        "=MUNIT(A2)",
        "[[1,0,0],[0,1,0],[0,0,1]]"
    ],
    [
        4,
        "=MUNIT(A3)",
        "[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]"
    ],
    [
        2,
        "=MUNIT(A4)",
        "[[1,0],[0,1]]"
    ]
];

    // 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 = [
    [
        "Matrix Size",
        "Formula",
        "Result"
    ],
    [
        3,
        "=MUNIT(A2)",
        "[[1,0,0],[0,1,0],[0,0,1]]"
    ],
    [
        4,
        "=MUNIT(A3)",
        "[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]"
    ],
    [
        2,
        "=MUNIT(A4)",
        "[[1,0],[0,1]]"
    ]
]

        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('ZmM4NTI4MGNlYjFjOTI0N2EzZGUzNDJmNjg5NmMxNTRhYjEzYWZjNzE2N2U0ZGY2NGQ1NzRmODczOGU3NTljODY1Mjg3YzExMTJiMmJmMzY0NjUzMmIxYzhmNGY4Zjc4MDI4MTkzOWJlM2QzYjViYmQ3ZWNiY2QyNDVmMmE2YWUsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVNE56YzBOekEyTENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');

// 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: [
    [
        "Matrix Size",
        "Formula",
        "Result"
    ],
    [
        3,
        "=MUNIT(A2)",
        "[[1,0,0],[0,1,0],[0,0,1]]"
    ],
    [
        4,
        "=MUNIT(A3)",
        "[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]"
    ],
    [
        2,
        "=MUNIT(A4)",
        "[[1,0],[0,1]]"
    ]
]
            }]
        });
    }
}

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