If
is a one-to-one linear transformation from R² to R², then the image of the unit square under
is a parallelogram with positive area.

Name: If is a one-to-one linear transformation from R 2 to R 2 , then the image of the unit square under is a parallelogram with positive area.
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Question

If is a one-to-one linear transformation from R² to R², then the image of the unit square under is a parallelogram with positive area.

Quizplus · Accepted Answer

A one-to-one linear transformation preserves the shape of the unit square, which means the image of the unit square under the transformation will also be a parallelogram with positive area.

If Is a One-To-One Linear Transformation from R2 to R2

If Is a One-To-One Linear Transformation from R² to R²