Show that the given transformation from R2 to R2 is linear

Last updated: 4/4/2023

Show that the given transformation from R2 to R2 is linear by showing that it is a matrix transformation F reflects a vector in the y axis Reflecting a vector in the y axis means negating the x coordinate So 1 1 F1 9 13 and thus F is a matrix transformation with matrix F 8 It follows that F is a linear transformation