Select from the following 1 only a and b 2 only a 3

Info icon This is a preview. Sign up to view the full content.

View Full Document Right Arrow Icon
Select from the following: 1. Only A and B. 2. Only A. 3. Only B. 4. Only B and C. 5. None of the above. Answer: 4 First consider the matrices in M 22 which belong to X : a b c d 1 1 = 0 0 a + b c + d = 0 0 a + b = 0 , c + d = 0 b = - a, d = - c so that X = a - a c - c : a, c R = a 1 - 1 0 0 + c 0 0 1 - 1 : a, c R = span 1 - 1 0 0 , 0 0 1 - 1 . Since 1 - 1 0 0 , 0 0 1 - 1 is a linearly independent set, and spans X , B provides a basis for X . Since every basis for X must have the same number of elements, A does not describe a basis for X . Question 5 Which of the following statements are true: 5
Image of page 5
Select from the following: 1. All of A, B, C and D. 2. Only B. 3. Only A and B. 4. Only A and C. 5. None of the above. Answer: 5
Image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern