## How do you reduce rows in Wolfram Alpha?

Use the text “row reduce” and then enter the matrix. The solution is x = 1 and y = -1. on the command line in WolframAlpha.

**How do you find the row reduced echelon form?**

To get the matrix in reduced row echelon form, process non-zero entries above each pivot.

- Identify the last row having a pivot equal to 1, and let this be the pivot row.
- Add multiples of the pivot row to each of the upper rows, until every element above the pivot equals 0.

**Can Wolfram Alpha do linear algebra?**

Wolfram|Alpha’s rigorous computational knowledge of topics such as vectors, vector spaces and matrix theory is a great resource for calculating and exploring the properties of vectors and matrices, the linear independence of vectors and the vector spaces underlying sets of vectors and matrices.

### How do you interchange rows in a matrix in Mathematica?

For small matrices, using simple indexing might be more readable:

- Interchanging rows: m[[{1, 3, 2}]]
- Multiplying rows: m * {1,2,1}
- Adding rows m + {0,v,0}
- Insert a row into a matrix Insert[m, v, 2]

**What is row reduction method?**

Row reduction (or Gaussian elimination) is the process of using row operations to reduce a matrix to row reduced echelon form. This procedure is used to solve systems of linear equations, invert matrices, compute determinants, and do many other things.

**How do you do a row reduction?**

To row reduce a matrix:

- Perform elementary row operations to yield a “1” in the first row, first column.
- Create zeros in all the rows of the first column except the first row by adding the first row times a constant to each other row.
- Perform elementary row operations to yield a “1” in the second row, second column.

## Is reduced row echelon form unique?

Theorem: The reduced (row echelon) form of a matrix is unique.

**Can 2 vectors span R3?**

No. Two vectors cannot span R3.