Final Exam Study Guide

# Final Exam Study Guide - Final Study-Guide Following is a...

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Final Study-Guide Following is a study-guide for the exam. This is an outline of the topics you must understand – to prepare for the exam, review the chapters we covered in the book. Review homework problems, and solve new exercises at the end of each chapter covered. Solving linear systems with Gaussian elimination. Reduced row echelon form, rank, and how many solutions to a matrix vector equation (consistency). Addition and multiplication for matrices and vectors. Finding the matrix of a linear transformation (including the geometric trans- formations). Conditions on invertibility of linear transformation/matrix. Fnding the inverse of a linear transformation/matrix. Equations with matrices (section 2.4). Properties of image and kernel of a linear transformation/matrix. Fnding basis for image and kernel. Deﬁnition of subspace of R n . Basis for subspace, redundent vectors. Linear independence.

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## This note was uploaded on 05/03/2010 for the course MATH 33A 262223201 taught by Professor Dai,s. during the Spring '09 term at UCLA.

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Final Exam Study Guide - Final Study-Guide Following is a...

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