What is the determinant of ?

What is the area of a triangle with vertices at (–3, 3), (2, 3), and (4, 7)?
The linear system below represents the sales of large and small popcorn servings at a movie theater for two consecutive days.What is the size of the augmented matrix for this system?





Which matrix will always give a determinant of 0?
Which property is shown in the matrix addition below?

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