Find the inverse of 3 by 3 square matrix and solve the system of equation скачать в хорошем качестве

Find the inverse of 3 by 3 square matrix and solve the system of equation

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).