Linear algebra find a basis for Sp2431103112032603SolutionIn

Linear algebra

find a basis for Sp((2,4,3,1),(1,0,3,1),(1,2,0,3),(2,6,0,3))

Solution

In order to find the basis for the matrix we need to transform the matrix into row echleon form

Step 1: We need to transform the matrix into reduced row echleon form by following steps

After getting the reduced row echleon form, the system will lead to

which corresponds to the system

The solution can be written in the vector form: