Find the inverse of 3 by 3 square matrix and solve the system of equation
Автор: Math by DS Sir
Загружено: 2026-03-07
Просмотров: 53
Описание:
This video demonstrates the step-by-step process for finding the inverse of a 3x3 matrix and using it to solve a system of linear equations.
Key Steps in the Process:
00:00-00:51 Introduction
Calculating Co-factors: (0:51).
Finding the Adjoint: (7:50).
Calculating the Determinant: The determinant of the original matrix is calculated using the elements of the first row and their corresponding co-factors, which is used to divide the adjoint matrix (8:50).
Determining the Inverse: (9:47).
Solving the Equation: The inverse matrix is multiplied by the constants matrix to solve for the variables x, y, and z (11:10).
Final Result:
By applying the formula x = A inverse * B, the video solves the system of equations, resulting in x = 1, y = 2, and z = 3 (15:01).
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