How to find the Game Matrix from the Game Tree

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I am quite interested in game theory and have been self-studying it recently. However, I encounter some problem in creating the game matrix when the the second player's choices are depended on first player. Here is the example: enter image description here

I can conclude that:

For Player I has 2 strategies: t and b

For Player II, whose strategies depend on Player I when I use t, II can: s, f, a; when I use b, II can: w, e

As the result, the matrix will become like that: enter image description here

So what can I do?