Column Space Calculator

Vector 1: Vector 2:

Find the column space of the following matrix:

A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]

Solution:

Input the matrix into the calculator: Most online column space calculators have a user-friendly interface where you can simply input the matrix elements. In this case, we will enter the elements of matrix A as shown:

Matrix: 

| 1  2  3 |

| 4  5  6 |

| 7  8  9 |

Output:

The calculator will display the column space of the matrix. In this case, the output might be:

Column space: span{(1, 4, 7), (2, 5, 8)}

This means that the column space of matrix A is the set of all linear combinations of the vectors (1, 4, 7) and (2, 5, 8).