diff --git a/Maths/Determinant.js b/Maths/Determinant.js
new file mode 100644
index 0000000000..d218a6ee98
--- /dev/null
+++ b/Maths/Determinant.js
@@ -0,0 +1,78 @@
+/**
+ * Given a square matrix, find its determinant using Laplace Expansion.
+ * Time Complexity : O(n!)
+ *
+ * For more info: https://en.wikipedia.org/wiki/Determinant
+ *
+ * @param {number[[]]} matrix - Two dimensional array of integers.
+ * @returns {number} - An integer equal to the determinant.
+ *
+ * @example
+ * const squareMatrix = [
+ * [2,3,4,6],
+ * [5,8,9,0],
+ * [7,4,3,9],
+ * [4,0,2,1]
+ * ];
+ *
+ * const result = determinant(squareMatrix);
+ * // The function should return 858 as the resultant determinant.
+ */
+
+const subMatrix = (matrix, i, j) => {
+ let matrixSize = matrix[0].length
+ if (matrixSize === 1) {
+ return matrix[0][0]
+ }
+ let subMatrix = []
+ for (let x = 0; x < matrixSize; x++) {
+ if (x === i) {
+ continue
+ }
+ subMatrix.push([])
+ for (let y = 0; y < matrixSize; y++) {
+ if (y === j) {
+ continue
+ }
+ subMatrix[subMatrix.length - 1].push(matrix[x][y])
+ }
+ }
+ return subMatrix
+}
+
+const isMatrixSquare = (matrix) => {
+ let numRows = matrix.length
+ for (let i = 0; i < numRows; i++) {
+ if (numRows !== matrix[i].length) {
+ return false
+ }
+ }
+ return true
+}
+
+const determinant = (matrix) => {
+ if (
+ !Array.isArray(matrix) ||
+ matrix.length === 0 ||
+ !Array.isArray(matrix[0])
+ ) {
+ throw new Error('Input is not a valid 2D matrix.')
+ }
+ if (!isMatrixSquare(matrix)) {
+ throw new Error('Square matrix is required.')
+ }
+ let numCols = matrix[0].length
+ if (numCols === 1) {
+ return matrix[0][0]
+ }
+ let result = 0
+ let setIndex = 0
+ for (let i = 0; i < numCols; i++) {
+ result +=
+ Math.pow(-1, i) *
+ matrix[setIndex][i] *
+ determinant(subMatrix(matrix, setIndex, i))
+ }
+ return result
+}
+export { determinant }
diff --git a/Maths/test/Determinant.test.js b/Maths/test/Determinant.test.js
new file mode 100644
index 0000000000..df9d34df83
--- /dev/null
+++ b/Maths/test/Determinant.test.js
@@ -0,0 +1,63 @@
+import { expect } from 'vitest'
+import { determinant } from '../Determinant'
+describe('Determinant', () => {
+ test.each([
+ [
+ [
+ [8, 1, 6],
+ [1, 2, 3],
+ [4, 7, 5]
+ ],
+ -87
+ ],
+ [
+ [
+ [2, 1, 0, 2],
+ [1, 2, 4, 3],
+ [0, 4, 7, 5],
+ [4, 7, 9, 8]
+ ],
+ 25
+ ],
+ [
+ [
+ [5, 9],
+ [3, 7]
+ ],
+ 8
+ ],
+ [
+ [
+ [7, 5, 1, 4, 3],
+ [6, 8, 7, 9, 6],
+ [9, 8, 0, 4, 7],
+ [0, 3, 4, 7, 9],
+ [3, 6, 2, 8, 8]
+ ],
+ 2476
+ ],
+ [[[23]], 23]
+ ])(
+ 'Should return the determinant of the square matrix.',
+ (matrix, expected) => {
+ expect(determinant(matrix)).toEqual(expected)
+ }
+ )
+
+ test.each([
+ [
+ [
+ [1, 6],
+ [1, 2, 3],
+ [4, 7, 5]
+ ],
+ 'Square matrix is required.'
+ ],
+ [[1, 3, 2, [5, 8, 6], 3], 'Input is not a valid 2D matrix.']
+ ])(
+ 'Should return the error message.',
+ (matrix, expected) => {
+ expect(() => determinant(matrix)).toThrowError(expected)
+ }
+ )
+})
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