If T (Jc) = Ax is an invertible linear transformation from R2 to R2, then the image T(S2) of the unit circle 2 is an ellipse. (See Exercise 2.2.50.) > 01a. Sketch this ellipse when A = 0 q , where p and q are positive. What is its area? b. For an arbitrary invertible transformation T(x) = Ax, denote the lengths of the semimajor and the semi- minor axes of T (Q) by a and by respectively. What is the relationship between a, b, and det(>4)?c. For the transformation T(x) = jc, sketchthis ellipse and determine its axes. {Hint: Considerand T1 -1

HIST101 — World History to 1500 (Fall 2017) 1 (CH211Section 00610:20-11:15amMWF; Section 009:12:40-1:35pmMWF) Instructor:Dr.JeffreyMiner E-mail:jeffrey.miner@wku.edu Office:CherryHall217 Dept. Associate:Janet Haynes Office Hours:Tu/Th1:00-3:00andbyappt. Dept.Office:CH200 COURSE DESCRIPTION ThisWorldHistorycourseprovidesan introduction toour globalpastwhile alsodeveloping your criticalthinking skills.Itisdesignedtohelpyouunderstandthediversityofandconnectionsbetweentheworld’scultures,ideals, and institutions. In addition, it introduces you to history as an organized body of kn