2024年4月10日发(作者：)

matlab共轭阶梯法

英文回答：

Gaussian Elimination or Row Reduction.

Gaussian elimination, also known as row reduction, is a

method for solving systems of linear equations by

transforming the augmented matrix of the system into an

equivalent matrix in row echelon form. This form allows us

to easily identify the solutions to the system.

Steps of Gaussian Elimination:

1. Convert the system of equations into an augmented

matrix.

2. Use row operations to transform the augmented matrix

into row echelon form.

Row operations:

Interchange two rows.

Multiply a row by a nonzero constant.

Add a multiple of one row to another row.

3. Interpret the row echelon form to solve the system.

Row Echelon Form:

A matrix is in row echelon form if it satisfies the

following conditions:

1. All zero rows are at the bottom of the matrix.

2. The first nonzero entry in each row (called the

leading entry) is 1.

3. Each leading entry is to the right of the leading

entry in the row above it.