MATH 235 Midterm: MATH 235 UMass Amherst midterm1-fall06-compact
Document Summary
Justify your answers to the following questions: for which real numbers h does the vector . Not covered in fall 2015 semester: (16 points) determine if the statement is true or false. Write down the general de nition of the span of a set of vectors, and carefully explain why the above plane is equal to the span of the set you provided. 1: (15 points) find the standard matrix of each of the following linear transforma- tions. a) t is the map from r2 to r3 de ned by. T (x1, x2) = (x1 x2, 5x1 + 2x2, 9x1 + 7x2): t is the map from r2 to r2, which rotates points (about the origin) through. 3 /4 radians counterclockwise: t is the map from r2 to r2, which rst re ects points through the line x2 = x1 and then re ects points through the horizontal x1 axis.
