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Let r2 be the linear transformation that reflects

User MrCopiCat
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Final answer:

The transformation that reflects an object is represented by a reflection matrix. For a reflection in the y-axis, the reflection matrix is R = [-1 0; 0 1].

Step-by-step explanation:

The linear transformation that reflects an object is represented by a matrix called reflection matrix. For a reflection in the y-axis, the reflection matrix is:

R = [-1 0; 0 1]

This means that the x-coordinate of a point remains the same, while the y-coordinate is negated. To reflect a point (x, y) in the y-axis, we multiply the coordinates by the reflection matrix:

R * [x; y] = [-x; y]

User Qosmo
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