math265_F09_mid1_practice

math265_F09_mid1_practice - Math 265, Practice Midterm 1...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 265, Practice Midterm 1 Sept 27, 2009 Name: This exam consists of 8 pages including this front page. Ground Rules 1. No calculator is allowed. 2. Show your work for every problem unless otherwise stated. 3. You may use one 4-by-6 index card, both sides. Score 1 15 2 15 3 10 4 15 5 15 6 15 7 15 Total 100 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
1. The following are true/false questions. You don’t have to justify your an- swers. Just write down either T or F in the table below. A, B, C, X, b are always matrices here. (a) If A 2 makes sense then A is a square matrix. (b) A system of linear equations can not have exactly 2 solutions. (c) If AB = AC and A 6 = 0 then B = C . (d) Let W be a subspace of a vector space V . If v W then - v W . (e) det(2 A ) = 2 det( A ) . (a) (b) (c) (d) (e) Answer T T F T F 2
Background image of page 2
2. Quick Questions, A, B, C, X, b are always matrices here: (a) Suppose that det( A ) = det( A - 1 ). det( A ) =? Solution: det( A ) = det( A - 1 ) = (det( A )) - 1 . So det( A ) 2 = 1 and then det( A ) = ± 1. (b) Suppose
Background image of page 3

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

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 8

math265_F09_mid1_practice - Math 265, Practice Midterm 1...

This preview shows document pages 1 - 4. Sign up to view the full document.

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