9781133111320

Student Solutions Manual for Larson/Falvo's Elementary Linear Algebra

David C. Falvo, Ron Larson

7th Edition

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

4.1

Vectors in R^n

Exercises

p.153

4.2

Vector Spaces

Exercises

p.160

4.3

Subspaces of Vector Spaces

Exercises

p.167

4.4

Spanning Sets and Linear Independence

Exercises

p.178

4.5

Basis and Dimension

Exercises

p.187

4.6

Rank of a Matrix and Systems of Linear Equations

Exercises

p.199

4.7

Coordinates and Change of Basis

Exercises

p.210

4.8

Applications of Vector Spaces

Exercises

p.219

Review Exercises

p.221

5.1

Length and Dot Product in R^n

Exercises

p.235

5.2

Inner Product Spaces

Exercises

p.245

5.3

Orthonormal Bases: Gram-Schmidt Process

Exercises

p.257

5.4

Mathematical Models and Least Squares Analysis

Exercises

p.269

5.5

Applications of Inner Product Spaces

Exercises

p.282

Review Exercises

p.284

4-5 Cumulative Test

p.289

6.1

Introduction to Linear Transformations

Exercises

p.300

6.2

The Kernel and Range of a Linear Transformation

Exercises

p.312

6.3

Matrices for Linear Transformations

Exercises

p.322

6.4

Transition Matrices and Similarity

Exercises

p.328

6.5

Applications of Linear Transformations

Exercises

p.335

Review Exercises

p.337