Jnana is knowledge. To know Brahman as one's own Self is Jnana. To say, "I am Brahman, the pure, all-pervading Consciousness, the non-enjoyer, non-doer and silent witness," is Jnana. To behold the one Self everywhere is Jnana.
Ajnana is ignorance. To identify oneself with the illusory vehicles of body, mind, Prana and the senses is Ajnana. To say, " I am the doer, the enjoyer, I am a Brahmin, a Brahmachari, this is mine, he is my son," is Ajnana. Jnana alone can destroy Ajnana, even as light alone can remove darkness.
Brahman, the Supreme Self, is neither the doer of actions nor the enjoyer of the fruits of actions. The creation, preservation and destruction of the world are not due to Him. They are due to the action of Maya, the Lord's energy manifesting itself as the world-process.