Follow the below commands to install tensorflow on Jetson nano device. Initially update the system packages by running the below command.
sudo apt-get update
sudo apt-get install libhdf5-serial-dev hdf5-tools libhdf5-dev zlib1g-dev zip libjpeg8-dev liblapack-dev libblas-dev gfortran
Upgrade the pip and install tensorflow with compatible jetpack version. Here we are using jetpack version 4.4 which is compatible for tensorflow.
sudo apt-get install python3-pip
sudo pip3 install -U pip testresources setuptools
sudo pip3 install --pre --extra-index-url https://developer.download.nvidia.com/compute/redist/jp/v44 tensorflow