Math54PracticeMT1 (Teleman)

Math54PracticeMT1 (Teleman) - SAMPLE MIDTERM I MATH 54...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
SAMPLE MIDTERM I MATH 54 SEC.1, FALL 2009 80 POINTS, 80 MINUTES Question 1, 9 pts True or false? No justiFcation necessary. Correct answers carry 1 . 5 points, incorrect answers carry 1 . 5 points penalty. However, you will not receive a negative total score. T ± If x R 2 is not the zero vector, then each of its entries is non-zero. T ± The homogeneous system A x = 0 has a non-trivial solution if and only if it has at least one free variable. T ± If the equation A x = 0 admits the trivial solution, then the columns of the matrix A are linearly independent. T ± The collection { [1 , 2] T , [2 , 3] T , [3 , 4] T } is linearly independent. T ± In a linearly dependent collection of three vectors, each vector must be a linear combination of the other two. T ± The column space of the matrix A is the set of all vectors which can be written as A x , for some vector x . Question 2, 9 pts True or false? No justiFcation necessary. Correct answers carry 1 . 5 points, incorrect answers carry 1 . 5 points penalty. However, you will not receive a negative total score.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/10/2010 for the course MATH 54 taught by Professor Chorin during the Fall '08 term at University of California, Berkeley.

Page1 / 2

Math54PracticeMT1 (Teleman) - SAMPLE MIDTERM I MATH 54...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online