Does this mean that one person (Christ) has two sets of knowledge?
Yes. He also has two wills - monothelitism was condemned in the early church.
Jesus has two natures. These natures have distinct properties. The deity is not "humanified" nor is the humanity deified (contra Eutychianism); but not so that he becomes, is, or is said to be two persons (contra Nestorianism).
What is the relation of Christ's archetypal knowledge to his ectypal knowledge?
I think Mr Murray used to say "two sources of consciousness, one self-consciousness."
Does one take precendence over another in certain circumstances? For example when Christ said He did not know something, was the archetypal knowledge being supressed in favor of the ectypal knowledge?
Well, any attempt to explain so precisely the relation between the two natures verges on rationalism. In the nature of the case, where we witness the most wonderfully intimate relations between the divine and the human, if we could say exactly how the two natures relate, we wouldn't be Chalcedonian or Christian anymore.
The Definition of Chalcedon (451) says:
Therefore, following the holy fathers, we all with one accord teach men to acknowledge one and the same Son, our Lord Jesus Christ, at once complete in Godhead and complete in manhood, truly God and truly man,
Please note how Jesus' true humanity is described:
consisting also of a reasonable soul and body;
Then it continues:
of one substance with the Father as regards his Godhead, and at the same time of one substance with us as regards his manhood; like us in all respects, apart from sin; as regards his Godhead, begotten of the Father before the ages, but yet as regards his manhood begotten, for us men and for our salvation, of Mary the Virgin, the God-bearer; one and the same Christ, Son, Lord, Only-begotten, recognized in two natures,
Note the conclusion contra the Eutychians:
without confusion, without change, without division, without separation; the distinction of natures being in no way annulled by the union,
Here is the rejection of the Nestorians:
but rather the characteristics of each nature being preserved and coming together to form one person and subsistence, not as parted or separated into two persons, but one and the same Son and Only-begotten God the Word, Lord Jesus Christ; even as the prophets from earliest times spoke of him, and our Lord Jesus Christ himself taught us, and the creed of the fathers has handed down to us.
So, in answer to the question:
Where does the ectypal knowledge reside - the human nature, the human soul, the single mind of Christ, or something else?
Of course God knows what we know, but we don't know what he knows nor do we know it the way he knows it. So God the Son knows ecytpal theology in his deity and in his humanity. The proper location, if you will, of ectypal theology is the humanity. Only the deity has archetypal (divine) theology.
There are sub-divisions of ectypal theology:
theology of pilgrims (theologia viatorum) -> what we have in this life in the church militant;
theologia beatorum (theology of the blessed, experienced by the church triumphant);
theologia angelorum (theology of the angels);
theologia unionis - theology of God the Son incarnate. What the Son knows in his incarnation.
We can say that the human nature never knows archetypal theology. The deity necessarily knows it.
rsc