Once upon a time in a far-off space, there lived a group of vectors. They lived in a big row and always flew in the same direction. One day, they noticed that some of them had a special similarity. These vectors could span a subspace and change the way things looked in their space.

The vectors learned about something called tensors and how they could use them to transpose their position. They practiced and soon became experts at using tensors to create new shapes and designs.

The other vectors were amazed by their new abilities and asked how they did it. The expert vectors explained that they had found a new way to use their similarity to create a subspace that allowed them to transpose their position.

Everyone was so happy and impressed with the expert vectors' newfound skills that they all decided to learn from them. Soon enough, the entire row of vectors had learned how to use tensors to transpose their position and create beautiful designs in their space.

And so, the vectors lived happily ever after, exploring their space and creating new designs with their tensors. The end.

Reflections

• What is a vector?
• What is a subspace?
• What is a tensor and how did the vectors use it?
• How did the vectors change their position?
• Why did the other vectors want to learn from the expert vectors?