Review sheet 1

Review sheet 1 - Length of vectors Cauchy-Schwarz...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Here is a list of topics that may be covered on the first midterm, and problems to help you prepare. The intention is not that you will do all the problems, but that you will use this to identify the areas that you need to study and try to do some problems that you find difficult. For each homework assignment, I’ve listed a few odd-numbered problems from the textbook as well as the most useful homework problems. Homework 1: Topics: Systems of equations Vectors (addition, scalar mult.) Matrices (addition, scalar mult.) Most useful problems: B,C Odd problems: 12.6: 1, 5 Homework 2: Topics: Reduced Row Echelon Form/ Row Echelon Form Row reduction Matrix multiplication Scalar product/ dot product Transpose Most useful problems: B,D,E,F,G Odd problems: 12.4: 1; 12.7: 1; 12.8: 5 Homework 3: Topics: Geometric interpretation of vectors Orthogonality
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Length of vectors Cauchy-Schwarz inequality Parametric form for lines and planes Most useful problems: D (answers to 1 are TFFT, 2 are TTFT) Odd problems: 12.4: 3, 5 Homework 4: Topics: Determinants Computing det using cofactor expansion Computing det using row reduction Inverses Linear transformations (you should be able to find matrices for projecting onto the axes, reflecting over the axes or y=x, and scaling- don’t need to know matrix for rotation or shear) Most useful problems: B,C,E Odd problems: 13.1: 3; 13.2: 1; 13.4: 3; 13.5: 1 Homework 5: Topics: Find inverses using row reduction Cramer’s Rule Linear Independence Span Rank Note: vector spaces, bases, and dimension will be saved for the second midterm. Most useful problems: B,C,E,F,G,H Odd problems: 13.7: 5; 13.8: 1; 14.2: 1; 14.3: 1...
View Full Document

This note was uploaded on 03/27/2012 for the course MATH 20 taught by Professor Rachelepstein during the Fall '11 term at Harvard.

Ask a homework question - tutors are online