MATL, 10 bytes

YsG~YsQ1Z?

Inputs an array of binary digits. Outputs a matrix.

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Explanation

Ys % Implicit input: array of binary digits. Cumulative sum. This gives the
 % row coordinates
G % Push input again
~ % Negate: change 0 to 1 and 1 to 0
Ys % Cumulative sum
Q % Add 1. This gives the column coordinates
1Z? % Matrix containing 1 at those row and column coordinates and 0 otherwise.
 % Implicit display