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- https://math.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/A_First_Journey_Through_Linear_Algebra/02%3A_Matrices/2.08%3A_Elementary_MatricesWe now turn our attention to a special type of matrix called an elementary matrix.
- https://math.libretexts.org/Bookshelves/Linear_Algebra/A_First_Course_in_Linear_Algebra_(Kuttler)/02%3A_Matrices/2.08%3A_Elementary_MatricesWe now turn our attention to a special type of matrix called an elementary matrix.
- https://math.libretexts.org/Courses/Mission_College/MAT_04C_Linear_Algebra_(Kravets)/02%3A_Matrices/2.08%3A_Elementary_MatricesWe now turn our attention to a special type of matrix called an elementary matrix.
- https://math.libretexts.org/Courses/Mount_Royal_University/Linear_Algebra_with_Applications_(Nicholson)/2%3A_Matrix_Algebra/2.1%3A_Elementary_MatricesIt is now clear that elementary row operations are important in linear algebra: They are essential in solving linear systems (using the gaussian algorithm) and in inverting a matrix (using the matrix ...It is now clear that elementary row operations are important in linear algebra: They are essential in solving linear systems (using the gaussian algorithm) and in inverting a matrix (using the matrix inversion algorithm). It turns out that they can be performed by left multiplying by certain invertible matrices. These matrices are the subject of this section.
- https://math.libretexts.org/Courses/Reedley_College/Differential_Equations_and_Linear_Algebra_(Zook)/02%3A_Matrices/2.08%3A_Elementary_MatricesWe now turn our attention to a special type of matrix called an elementary matrix.
- https://math.libretexts.org/Courses/Lake_Tahoe_Community_College/A_First_Course_in_Linear_Algebra_(Kuttler)/02%3A_Matrices/2.08%3A_Elementary_MatricesWe now turn our attention to a special type of matrix called an elementary matrix.
- https://math.libretexts.org/Bookshelves/Linear_Algebra/Linear_Algebra_with_Applications_(Nicholson)/02%3A_Matrix_Algebra/2.01%3A_Elementary_MatricesIt is now clear that elementary row operations are important in linear algebra: They are essential in solving linear systems (using the gaussian algorithm) and in inverting a matrix (using the matrix ...It is now clear that elementary row operations are important in linear algebra: They are essential in solving linear systems (using the gaussian algorithm) and in inverting a matrix (using the matrix inversion algorithm). It turns out that they can be performed by left multiplying by certain invertible matrices. These matrices are the subject of this section.