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A unique solution No solution or Infinitely many solutions Axb
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=18_oG-cD9Ck
❖ A linear system Ax=b has one of three possible solutions: • 1. The system has a unique solution which means only one solution. • 2. The system has no solution. • 3. The system has infinitely many solutions. • So, we have explained how to determine if a system of equations has the three types of solution which are a unique solution, no solution, or infinitely many solutions. Also, this algebra video tutorial explains how to solve systems of equations by elimination with examples and practice problems. • ❖ In this video, the three augmented matrices represent the final step for any augmented matrix by using a Gauss Jordan Elimination method. • The Gauss Jordan elimination method is a process used to solve a system of linear equations Ax=b by converting the system into an augmented matrix and using Elementary Row Operations to convert a matrix into a Reduced Row Echelon Form ( RREF ). • Another method to solve a linear system Ax=b is a Gaussian elimination method. • ❖ Elementary Row Operations • There are three types of elementary matrices, which correspond to three types of row operations: • 1. Row switching • A row within the matrix can be switched with another row. • 2. Row multiplication • Each element in a row can be multiplied by a non-zero constant. • 3. Row addition • A row can be replaced by the sum of that row and a multiple of another row. • • 0:00 ❖ Types of solution of Ax=b • 7:30 1. a unique solution (only one solution) • 9:25 2. no solution • 10:50 3. infinitely many solutions • • For more videos about this, you can find them in this playlist (Linear Algebra): • • Linear Algebra • My Website: • https://www.Mulkek.com • Subscribe to My Channel to check out more videos: • / mulkek
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