Verify that A^†=(1)/(10)[
-2 -1 0 1 2
6 4 2 0 -2
] is

Question

Verify that A^†=(1)/(10)[
    -2     -1     0     1     2 
     6     4     2     0     -2
] is

Accepted Answer

Step 1: Define the matrix $A$ from Example 7.5.7.
Assuming from the context, $A$ is typically a

Verify that $$ A^{\dagger}=\frac{1}{10}\left[\begin{array}{ccccc} -2 & -1 & 0 & 1 & 2 \\ 6 & 4 & 2 & 0 & -2 \end{array}\right] $$ is the pseudoinverse of the matrix $A$ in Example 7.5 .7 and show that $A^{\dagger} \mathbf{y}$ gives the parameters of the least squares line in that example.