The-Organic-Chemistry-Tutor
This video explains how to perform elementary row operations using matrices for solving equations. The examples given include multiplying all elements in a row by a scalar, swapping rows, and adding two rows together by scaling one and adding it to the other. The video also shows how to perform a row operation with no attachment to any particular row, and how to rewrite the matrix after the row operation is performed. By following these methods, simple changes can be made to rows within matrices to help solve equations using the elementary row operation method.
In this section, the process of performing elementary row operations using matrices is explained. The first example discusses multiplying all elements in a row by a scalar, resulting in a new row with updated values, and the second example explains how to swap rows. The third example involves adding two rows together by scaling one and adding it to the other. All of these examples demonstrate how to make simple changes to rows within matrices to solve equations using the elementary row operation method.
In this section, a row operation with no attachment to any particular row is given. The row operation is 3R1 + R2, and it's requested that the matrix is rewritten so that the new changes can be placed in row 2. Since row 2 is the only row that needs changing, the other rows can be written as they are. The next step is to carry out the row operation, starting with column one, followed by the remaining columns. The resulting matrix after the operation is performed is shown as the final answer.
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