Write a program that calculates the determinant of a 3x3 matrix, knowledge of the determinant and its uses is not necessary for this question. The determinant of a 3x3 matrix is calculated via the following method: • First, get the value at `matrix[0][0]`. Multiply this value by the difference: `matrix[1][1] * matrix[2][2] - matrix[2][1] * matrix[1][2]`. • Next, get the value at matrix[0][1]. Multiply this value by the difference: `matrix[1][0] * matrix[2][2] - matrix[2][0] * matrix[1][2]. Multiply the resulting product by -1. • Finally, get the value at matrix[0][2]. Multply this value by the difference: `matrix[1][0] * matrix[2][1] - matrix[2][0] * matrix[1][2]`. The sum of these values is the value of the determinant of matrix. Print the determinant you calculated. You can hardcode the matrix, but make your program work for all inputs. Example Cases: Input: [[1, 2, 3], [4, 5, 6], [7, 8, 9]] Output: 0 Input: [[4, -7, 9], [6, 0, 3], [-1, 7, 0]] Output: 315 Input: [[-6, 0, 5], [-8, -8, -5], [-10, 2, 8]] Output: -156 Input: [[2, -1, -8], [5,-1,-3], [-1,-9, 6]] Output: 329
Write a program that calculates the determinant of a 3x3 matrix, knowledge of the determinant and its uses is not necessary for this question. The determinant of a 3x3 matrix is calculated via the following method: • First, get the value at `matrix[0][0]`. Multiply this value by the difference: `matrix[1][1] * matrix[2][2] - matrix[2][1] * matrix[1][2]`. • Next, get the value at matrix[0][1]. Multiply this value by the difference: `matrix[1][0] * matrix[2][2] - matrix[2][0] * matrix[1][2]. Multiply the resulting product by -1. • Finally, get the value at matrix[0][2]. Multply this value by the difference: `matrix[1][0] * matrix[2][1] - matrix[2][0] * matrix[1][2]`. The sum of these values is the value of the determinant of matrix. Print the determinant you calculated. You can hardcode the matrix, but make your program work for all inputs. Example Cases: Input: [[1, 2, 3], [4, 5, 6], [7, 8, 9]] Output: 0 Input: [[4, -7, 9], [6, 0, 3], [-1, 7, 0]] Output: 315 Input: [[-6, 0, 5], [-8, -8, -5], [-10, 2, 8]] Output: -156 Input: [[2, -1, -8], [5,-1,-3], [-1,-9, 6]] Output: 329
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Write in Python
![Write a program that calculates the determinant of a 3x3 matrix, knowledge of the determinant and its uses is not necessary for this question. The determinant of a 3x3 matrix is calculated via the following
method:
• First, get the value at `matrix[0][0]`. Multiply this value by the difference: `matrix[1][1] * matrix[2][2] - matrix[2][1] * matrix[1][2]`.
• Next, get the value at matrix[0][1]. Multiply this value by the difference: `matrix[1][0] * matrix[2][2] - matrix[2][0] * matrix[1][2]. Multiply the resulting product by -1.
• Finally, get the value at matrix[0][2]. Multply this value by the difference: `matrix[1][0] * matrix[2][1] - matrix[2][0] * matrix[1][2]`.
The sum of these values is the value of the determinant of matrix. Print the determinant you calculated. You can hardcode the matrix, but make your program work for all inputs.
Example Cases:
Input: [[1, 2, 3], [4, 5, 6], [7, 8, 9]] Output: 0
Input: [[4, -7, 9], [6, 0, 3], [-1, 7, 0]] Output: 315
Input: [[-6, 0, 5], [-8, -8, -5], [-10, 2, 8]] Output: -156
Input: [[2, -1, -8], [5,-1,-3], [-1,-9, 6]] Output: 329](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc158a850-76a9-4504-97b9-8593e0926539%2F8a1f9150-f761-4415-9514-7c6f141a377a%2Fhu1tj6j_processed.png&w=3840&q=75)
Transcribed Image Text:Write a program that calculates the determinant of a 3x3 matrix, knowledge of the determinant and its uses is not necessary for this question. The determinant of a 3x3 matrix is calculated via the following
method:
• First, get the value at `matrix[0][0]`. Multiply this value by the difference: `matrix[1][1] * matrix[2][2] - matrix[2][1] * matrix[1][2]`.
• Next, get the value at matrix[0][1]. Multiply this value by the difference: `matrix[1][0] * matrix[2][2] - matrix[2][0] * matrix[1][2]. Multiply the resulting product by -1.
• Finally, get the value at matrix[0][2]. Multply this value by the difference: `matrix[1][0] * matrix[2][1] - matrix[2][0] * matrix[1][2]`.
The sum of these values is the value of the determinant of matrix. Print the determinant you calculated. You can hardcode the matrix, but make your program work for all inputs.
Example Cases:
Input: [[1, 2, 3], [4, 5, 6], [7, 8, 9]] Output: 0
Input: [[4, -7, 9], [6, 0, 3], [-1, 7, 0]] Output: 315
Input: [[-6, 0, 5], [-8, -8, -5], [-10, 2, 8]] Output: -156
Input: [[2, -1, -8], [5,-1,-3], [-1,-9, 6]] Output: 329
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