Least squares

Suppose you're working with the least squares problem where:$$X= \begin{pmatrix} 1 & -1 & 2 & 4 \\ 1 & 0 & 1 & 3 \\ 1 & 1 & 3 & 0 \\ 1 & 3 & -2 & -1 \\ \end{pmatrix} \qquad \mathbf{y}= \begin{pmatrix} 0 \\ 3 \\ 1 \\ -2 \\ \end{pmatrix}$$Compute $\hat{\mathbf{y}}$, the best estimation to $\mathbf{y}$. Write its entries separated by a space, in the following format:

0 0 0 0