Given transformation matrix cap t is equal to the 2 by 2 matrix, row 1, column 1, 1 column 2, 0 row 2, column 1, 0 column 2, negative 1 , which diagram shows the application of cap t to v ?
Answer
A
Image with description On a coordinate plane, the x-axis ranges from negative 4 to 2 in increments of 1, and the y-axis ranges from negative 4 to 2 in increments of 1. A vector v prime has origin (0, 0) and terminal point (negative 2, negative 4).
B
Image with description On a coordinate plane, the x-axis ranges from negative 2 to 4 in increments of 1, and the y-axis ranges from negative 2 to 4 in increments of 1. A vector v prime has origin (0, 0) and terminal point (2, 4).
C
Image with description On a coordinate plane, the x-axis ranges from negative 1 to 5 in increments of 1, and the y-axis ranges from negative 4 to 2 in increments of 1. A vector v prime has origin (0, 0) and terminal point (4, negative 2).
D
Image with description On a coordinate plane, the x-axis ranges from negative 4 to 2 in increments of 1, and the y-axis ranges from negative 2 to 4 in increments of 1. A vector v prime has origin (0, 0) and terminal point (negative 4, 2).