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Narrated Uthman, Prophet Muhammad ((sallal laahu alaihi wasallam)) said:

'The best among you are those who learn the Qur'an and teach it to others'

(Sahih Al Bukhari vol 6, book 61, no. 545)

Tajweed is the Science of reading Qur'an correctly.
Learning how to recite the Qur'an correctly is an obligatory act upon EVERY Muslim.