MATH 21A Midterm: MATH 20 Harvard 2004Spring20MidtermI
Document Summary
Full credit may not be given for an answer alone. You may use the backs of the pages or the extra pages for scratch work. Students who, for whatever reason, submit work not their own will ordinarily be required to withdraw from the college. In all situations where row operations are performed on a matrix, label each operation to receive partial credit in case of arithmetic mistakes. Find the following: (i) 3a + 2b (ii) ab. 2: (20 points) find the parametric form to the general solution of the system of linear equations. + x4 = 2; x1 + 2x2 + x3 + 2x4 = 4; 3x1 + 6x2 + 2x3 + x4 = 2. 3: (20 points) determine whether set of vectors. 4: (10 points) let t : r2. R2 be the linear transformation that rotates coun- terclockwise by 30 then re ects in the x2-axis. 5: (12 points) label the following statements as true or false.
