linear algebra
Although it seems silly, it is possible to do elementary row operations on n Times 1 matrices. Every such operation defines a transformation of Rn into Rn. For example, if we define a transformation of R3 into R3 by "add twice row 1 to row 3", this transformation transforms Since this transformation is described by a matrix, we see that our elementary row operation defines a linear transformation. A transformation defined by a single elementary row operation is called an elementary transformation and the matrix that describes such a transformation is called an elementary matrix. Find matrices that describe the following elementary row operations on Rn for the given value of n. Add twice row 3 to row 2 in R4. Multiply row 2 by 17 in R3. Interchange rows 1 and 2 in R4.
