Let $\mathbf{P}$ be the matrix for projecting onto the vector $\begin{pmatrix} -3 \\ -2 \end{pmatrix}.$  Find $\mathbf{P}^{-1}.$

If the inverse does not exist, then enter the zero matrix.
Question:
Let $\mathbf{P}$ be the matrix for projecting onto the vector $\begin{pmatrix} -3 \\ -2 \end{pmatrix}.$  Find $\mathbf{P}^{-1}.$

If the inverse does not exist, then enter the zero matrix.
Answer:
Let's think step by step.

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\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}
Let $\mathbf{P}$ be the matrix for projecting onto the vector $\begin{pmatrix} -3 \\ -2 \end{pmatrix}.$  Find $\mathbf{P}^{-1}.$

If the inverse does not exist, then enter the zero matrix.
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