elementary linear algebra - GBV [PDF]

STUDENT SOLUTIONS MANUAL

ELEMENTARY LINEAR ALGEBRA APPLICATIONS VERSION im

• i iniiwiiiMiniiiBWBi—mmamm SEVENTH EDITION

HOWARD ANTON CHRIS RORRES Drexel University

Prepared by Elizabeth M. Grobe Charles A. Grobe, Jr. Bowdoin College

Chris Rorres Drexel University

JOHN WILEY & SONS, INC. New York • Chichester • Brisbane • Toronto • Singapore

C O N T E N T S

Preface CHAPTER ONE Exercise Set 1.1

1

Exercise Set 1.2

5

Exercise Set 1.3

25

Exercise Set 1.4

35

Exercise Set 1.5

49

Exercise Set 1.6

61

Exercise Set 1.7

71

Supplementary Exercises 1

77

CHAPTER TWO Exercise Set 2.1

93

Exercise Set 2.2

97

Exercise Set 2.3

105

Exercise Set 2.4

111

Supplementary Exercises 2

123

v

vi

CHAPTER THREE Exercise Set 3.1

133

Exercise Set 3.2

141

Exercise Set 3.3

145

Exercise Set 3.4

151

Exercise Set 3.5

159

CHAPTER FOUR Exercise Set 4.1

167

Exercise Set 4.2

173

Exercise Set 4.3

181

CHAPTER FIVE Exercise Set 5.1

191

Exercise Set 5.2

195

Exercise Set 5.3

205

Exercise Set 5.4

211

Exercise Set 5.5

219

Exercise Set 5.6

227

Supplementary Exercises 5

231

CHAPTER SIX Exercise Set 6.1

235

Exercise Set 6.2

245

Exercise Set 6.3

253

Exercise Set 6.4

265

Exercise Set 6.5

273

Supplementary Exercises 6

281

vii

CHAPTER SEVEN Exercise Set 7.1

287

Exercise Set 7.2

299

Exercise Set 7.3

307

Supplementary Exercises 7

313

CHAPTER EIGHT Exercise Set 8.1

321

Exercise Set 8.2

327

Exercise Set 8.3

333

Exercise Set 8.4

339

Exercise Set 8.5

349

Supplementary Exercises 8

361

CHAPTER NINE Exercise Set 9.1

373

Exercise Set 9.2

381

Exercise Set 9.3

389

Exercise Set 9.4

393

Exercise Set 9.5

399

Exercise Set 9.6

405

Exercise Set 9.7

417

Exercise Set 9.8

425

Exercise Set 9.9

431

CHAPTER TEN Exercise Set 10.1

439

Exercise Set 10.2

447

Exercise Set 10.3

457

Exercise Set 10.4

465

viii

Exercise Set 10.5

475

Exercise Set 10.6

489

Supplementary Exercises 10

501

CHAPTER ELEVEN Exercise Set 11.1

507

Exercise Set 11.2

513

Exercise Set 11.3

519

Exercise Set 11.4

525

Exercise Set 11.5

539

Exercise Set 11.6

553

Exercise Set 11.7

559

Exercise Set 11.8

565

Exercise Set 11.9

569

Exercise Set 11.10

575

Exercise Set 11.11

579

Exercise Set 11.12

587

Exercise Set 11.13

591

Exercise Set 11.14

607

Exercise Set 11.15

613

Exercise Set 11.16

631

Exercise Set 11.17

649

Exercise Set 11.18

655

Exercise Set 11.19

659

Exercise Set 11.20

663