Math Midterm 1 (#2).pdf

# X 1 x 2 3 x 3 1 2 x 1 x 2 3 x 3 3 x 1 x 2 tx 3 1 b 2

• No School
• AA 1
• 8

This preview shows page 5 - 8 out of 8 pages.

x 1 - x 2 - 3 x 3 = 1 2 x 1 - x 2 - 3 x 3 = - 3 x 1 - x 2 + tx 3 = 1 (b) [2 points] Write down the general solution of the linear system for the value of t that you find in part (a). Page 5 of 8

Subscribe to view the full document.

Student # MAT 1302A First Midterm Exam 5. [3 points] Consider the vectors u = 1 2 2 - 1 2 , v 1 = 2 - 2 4 - 1 , v 2 = 1 - 4 2 - 1 2 , v 3 = - 2 7 - 4 2 Determine if u belongs to Span { v 1 , v 2 , v 3 } . Page 6 of 8
Student # MAT 1302A First Midterm Exam 6. [3 points] For each of the following statements, indicate if it is true or false . You will receive 1 point for every correct answer and lose .5 points for every incorrect answer (but you cannot receive a negative mark on this question). (a) A consistent linear system with 5 equations and 5 variables always has a unique solution. (b) If the span of two vectors v , w R 3 is a line, then there exists a scalar c R such that v = c w or w = c v . (c) If A is a 4 × 5 matrix and x = x 1 x 2 x 3 x 4 x 5 then the homogeneous linear system A x = 0 has infinitely many solutions. Page 7 of 8

Subscribe to view the full document.

Student # MAT 1302A First Midterm Exam This page is intentionally left blank. You may use it as scrap paper. Page 8 of 8
• Fall '19
• Vector Space, Department of Mathematics and Statistics, Hadi Salmasian, number of points

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern