If the user enters a wrong key for AES decryption, some garbage data is generated. I want to verify the given decryption key and throw an error if the key is incorrect. How can I verify the key entered by the user?
Use an HMAC. The basic premise is that you run the plaintext through an HMAC, add the result to the plaintext and then encrypt. Then do the opposite when decrypting. If the plaintext and HMAC result match, then you know you've got the correct key.
OR, if you want to know prior to decryption, use the key material provided by the user to derive two further keys (using, say PBKDF2). Use one for encryption and another for an HMAC. In this case, encrypt first and then apply the HMAC using the second key. This way you can compute the HMAC and check if it matches before you decrypt.