Python tensors

  Write some code that uses PyTorch tensors. Create tensors with Python lists with the following dimensions (shapes): 1, 2x3, 2x2x2. Show the tensors' shapes. Create a 4D tensor with random numbers between 0 and 1. Use the relevant tensor function to do so. Create a 2D tensor with all zeros and another with all ones. Use the relevant tensor function to do so. Using a 4D tensor and using indexing: show a single scalar; show a single vector; show the first scalar from each vector. Demonstrate adding a scalar to every scalar in a 3D tensor (using broadcasting). Demonstrate element-wise dividing a 3D tensor by a vector (using broadcasting). Demonstrate the use of the item() and tolist() functions to get Python values. Demonstrate the use of min() and mean() providing the dim= parameter to find the min/mean over a certain dimension. Combine two 2D tensors so one is "on top" of the other. Reshape a 2D tensor to a 3D tensor. Convert a tensor to single-precision floating point (float32), upload to the gpu, perform an arithmetic operation with another tensor, and then download from the gpu. Demonstrate that these steps worked.