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# Common Core Standard HSN-VM.C.12 Questions

(+) Work with 2 × 2 matrices as a transformations of the plane, and interpret the absolute value of the determinant in terms of area.

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Which matrix could be used to find the area of a parallelogram with the coordinates $(0,0),(5,7),(2,1),(7,8)$ ?
1. $[[5,8],[7,7]]$
2. $[[5,7],[7,8]]$
3. $[[5,1],[2,7]]$
4. $[[5,7],[2,1]]$