What would you like to understand?

To find the area of the transformed region, multiply the original area by the absolute value of the determinant of the transformation matrix. The formula is: $\text{New Area} = \text{Old Area} \cdot |\det(A)|$.

Conditions: The transformation is linear and represented by $a 2\times 2$ matrix.; The original area is known.; Use ordinary Euclidean area in standard orthonormal coordinates.

To find the area of the transformed region, multiply the original area by the absolute value of the determinant of the transformation matrix. The formula is: $\text{New Area} = \text{Old Area} \cdot |\det(A)|$.

Conditions: The transformation is linear and represented by $a 2\times 2$ matrix.; The original area is known.; Use ordinary Euclidean area in standard orthonormal coordinates.