Verses 10-16 are in the voice of God, saying what I, God, did, and what you, the not-always-grateful people did next. God had rescued the people from slavery in Egypt and provided them with the necessary food to keep them going on their journey. And God provided them with something else necessary for their journey--instruction in a way of life.
What response what we expect from people who had received such gifts? What God got was a people who refused to listen, who refused to obey. God's response to that recalcitrance was to just let them do what they wanted to do.
But God is not abandoning these abandoning people. "If only they would listen," God says.
Off on a tangent part: The psalm ends with this verse: I would feed you with the finest of the wheat and with honey from the rock I would satisfy you. I immediately was reminded of the singing group Sweet Honey in the Rock. Take some time today to listen to them.