The figures below show three linear transformations and the kernel and image (colored red) of each transformation. All red lines and planes have infinite extent, and a shaded cube represents all points in $\mathbb{R}^3$. Determine whether the kernel and image are a point, a line, a plane, or $\mathbb{R}^3$. Use the drop-down menus below each figure to answer these questions. Determine whether each linear transformation is injective (one-to-one), surjective (onto), bijective (an isomorphism), or none of these.