# Linear Algebra Workbench

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 Algebra: Linear Algebra (NOT Linear Equations) Solvers Lessons Answers archive Quiz In Depth

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# Linear Algebra Workbench

How it works: you enter your matrices and vectors, and then can perform as many calculations with them as you would like. You can enter expressions (see the form below) and they will be calculated using the linear objects that you have provided.

Enter Expression:
Note: This form allows you to calculate expressions. These expressions can be formed from objects that you have already defined. Note that you have to enter the * sign for multiplication. This script does not understand multiplication by joining names. For instance, if you want to calculate 2*A*B*v, you have to enter 2*A*B*v, not 2ABv. You can also use the following functions: transp, inverse, det, scalar for scalar multiplication of vectors. More examples: 3*(A-C/B+D/2)*v. Also, for exponentiation, use the '^' character. For example, to calculate matrix A squared, type A^2.

## Objects Defined

```
Object: A = 1 2 3
-1 1 0
0 0 1```
This is a 3x3 Matrix. [Edit This Object] [Delete This Object]
Operations: TransposeFind Eigenvectors, Find Determinant, Invert Matrix
```
Object: v = 1
2
3```
This is a vector of dimension 3. [Edit This Object] [Delete This Object]
Operations: Find Norm (size) of Vector