Which points are in the image of rectangle ABCD under the transformation: cap t is equal to the 2 by 2 matrix row 1, 3 0 row 2, 0 3 ?
Answer
A
cap A prime times open paren 3 comma 9 close paren ; cap b prime times open paren 12 comma 9 close paren ; cap c prime times open paren 12 comma 3 close paren ; cap d prime times open paren 3 comma 3 close paren
B
cap A prime times open paren 9 comma 3 close paren ; cap b prime times open paren 9 comma 12 close paren ; cap c prime times open paren 3 comma 12 close paren ; cap d prime times open paren 3 comma 3 close paren
C
cap A prime times open paren 4 comma 7 close paren ; cap b prime times open paren 7 comma 6 close paren ; cap c prime times open paren 7 comma 4 close paren ; cap d prime times open paren 4 comma 4 close paren
D
cap A prime times open paren 3 comma 3 close paren ; cap b prime times open paren 12 comma 3 close paren ; cap c prime times open paren 12 comma 9 close paren ; cap d prime times open paren 3 comma 12 close paren