2.21.5.4 Problems for finding eigenvalues and eigenvectors

Number of problems in this table is 388

Table 2.661: Summary of results

#

Matrix

Solved?

time (sec)

10261

\(\left [\begin {array}{cc} 4 & -2 \\ 1 & 1 \end {array}\right ]\)

0.11

10262

\(\left [\begin {array}{cc} 5 & -6 \\ 3 & -4 \end {array}\right ]\)

0.108

10263

\(\left [\begin {array}{cc} 8 & -6 \\ 3 & -1 \end {array}\right ]\)

0.109

10264

\(\left [\begin {array}{cc} 4 & -3 \\ 2 & -1 \end {array}\right ]\)

0.115

10265

\(\left [\begin {array}{cc} 10 & -9 \\ 6 & -5 \end {array}\right ]\)

0.112

10266

\(\left [\begin {array}{cc} 6 & -4 \\ 3 & -1 \end {array}\right ]\)

0.116

10267

\(\left [\begin {array}{cc} 10 & -8 \\ 6 & -4 \end {array}\right ]\)

0.109

10268

\(\left [\begin {array}{cc} 7 & -6 \\ 12 & -10 \end {array}\right ]\)

0.119

10269

\(\left [\begin {array}{cc} 8 & -10 \\ 2 & -1 \end {array}\right ]\)

0.127

10270

\(\left [\begin {array}{cc} 9 & -10 \\ 2 & 0 \end {array}\right ]\)

0.138

10271

\(\left [\begin {array}{cc} 19 & -10 \\ 21 & -10 \end {array}\right ]\)

0.123

10272

\(\left [\begin {array}{cc} 13 & -15 \\ 6 & -6 \end {array}\right ]\)

0.126

10273

\(\left [\begin {array}{ccc} 2 & 0 & 0 \\ 2 & -2 & -1 \\ -2 & 6 & 3 \end {array}\right ]\)

0.213

10274

\(\left [\begin {array}{ccc} 5 & 0 & 0 \\ 4 & -4 & -2 \\ -2 & 12 & 6 \end {array}\right ]\)

0.207

10275

\(\left [\begin {array}{ccc} 2 & -2 & 0 \\ 2 & -2 & -1 \\ -2 & 2 & 3 \end {array}\right ]\)

0.197

10276

\(\left [\begin {array}{ccc} 1 & 0 & -1 \\ -2 & 3 & -1 \\ -6 & 6 & 0 \end {array}\right ]\)

0.189

10277

\(\left [\begin {array}{ccc} 3 & 5 & -2 \\ 0 & 2 & 0 \\ 0 & 2 & 1 \end {array}\right ]\)

0.184

10278

\(\left [\begin {array}{ccc} 1 & 0 & 0 \\ -6 & 8 & 2 \\ 12 & -15 & -3 \end {array}\right ]\)

0.216

10279

\(\left [\begin {array}{ccc} 3 & 6 & -2 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end {array}\right ]\)

0.135

10280

\(\left [\begin {array}{ccc} 1 & 0 & 0 \\ -4 & 7 & 2 \\ 10 & -15 & -4 \end {array}\right ]\)

0.168

10281

\(\left [\begin {array}{ccc} 4 & -3 & 1 \\ 2 & -1 & 1 \\ 0 & 0 & 2 \end {array}\right ]\)

0.157

10282

\(\left [\begin {array}{ccc} 5 & -6 & 3 \\ 6 & -7 & 3 \\ 6 & -6 & 2 \end {array}\right ]\)

0.153

10283

\(\left [\begin {array}{cccc} 1 & 2 & 2 & 2 \\ 0 & 2 & 2 & 2 \\ 0 & 0 & 3 & 2 \\ 0 & 0 & 0 & 4 \end {array}\right ]\)

0.249

10284

\(\left [\begin {array}{cccc} 1 & 0 & 4 & 0 \\ 0 & 1 & 4 & 0 \\ 0 & 0 & 3 & 0 \\ 0 & 0 & 0 & 3 \end {array}\right ]\)

0.162

10285

\(\left [\begin {array}{cccc} 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 2 \end {array}\right ]\)

0.151

10286

\(\left [\begin {array}{cccc} 4 & 0 & 0 & -3 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & -1 & 0 \\ 6 & 0 & 0 & -5 \end {array}\right ]\)

0.244

10287

\(\left [\begin {array}{cc} 0 & 1 \\ -1 & 0 \end {array}\right ]\)

0.157

10288

\(\left [\begin {array}{cc} 0 & -6 \\ 6 & 0 \end {array}\right ]\)

0.147

10289

\(\left [\begin {array}{cc} 0 & -3 \\ 12 & 0 \end {array}\right ]\)

0.153

10290

\(\left [\begin {array}{cc} 0 & -12 \\ 12 & 0 \end {array}\right ]\)

0.149

10291

\(\left [\begin {array}{cc} 0 & 24 \\ -6 & 0 \end {array}\right ]\)

0.163

10292

\(\left [\begin {array}{cc} 0 & -4 \\ 36 & 0 \end {array}\right ]\)

0.155

10293

\(\left [\begin {array}{ccc} 32 & -67 & 47 \\ 7 & -14 & 13 \\ -7 & 15 & -6 \end {array}\right ]\)

0.22

10294

\(\left [\begin {array}{cccc} 22 & -9 & -8 & -8 \\ 10 & -7 & -14 & 2 \\ 10 & 0 & 8 & -10 \\ 29 & -9 & -3 & -15 \end {array}\right ]\)

0.358

10295

\(\left [\begin {array}{cc} 5 & -4 \\ 2 & -1 \end {array}\right ]\)

0.111

10296

\(\left [\begin {array}{cc} 6 & -6 \\ 4 & -4 \end {array}\right ]\)

0.115

10297

\(\left [\begin {array}{cc} 5 & -3 \\ 2 & 0 \end {array}\right ]\)

0.114

10298

\(\left [\begin {array}{cc} 5 & -4 \\ 3 & -2 \end {array}\right ]\)

0.113

10299

\(\left [\begin {array}{cc} 9 & -8 \\ 6 & -5 \end {array}\right ]\)

0.115

10300

\(\left [\begin {array}{cc} 10 & -6 \\ 12 & -7 \end {array}\right ]\)

0.122

10301

\(\left [\begin {array}{cc} 6 & -10 \\ 2 & -3 \end {array}\right ]\)

0.126

10302

\(\left [\begin {array}{cc} 11 & -15 \\ 6 & -8 \end {array}\right ]\)

0.127

10303

\(\left [\begin {array}{cc} -1 & 4 \\ -1 & 3 \end {array}\right ]\)

0.075

10304

\(\left [\begin {array}{cc} 3 & -1 \\ 1 & 1 \end {array}\right ]\)

0.068

10305

\(\left [\begin {array}{cc} 5 & 1 \\ -9 & -1 \end {array}\right ]\)

0.077

10306

\(\left [\begin {array}{cc} 11 & 9 \\ -16 & -13 \end {array}\right ]\)

0.083

10307

\(\left [\begin {array}{ccc} 1 & 3 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \end {array}\right ]\)

0.129

10308

\(\left [\begin {array}{ccc} 2 & -2 & 1 \\ 2 & -2 & 1 \\ 2 & -2 & 1 \end {array}\right ]\)

0.154

10309

\(\left [\begin {array}{ccc} 3 & -3 & 1 \\ 2 & -2 & 1 \\ 0 & 0 & 1 \end {array}\right ]\)

0.148

10310

\(\left [\begin {array}{ccc} 3 & -2 & 0 \\ 0 & 1 & 0 \\ -4 & 4 & 1 \end {array}\right ]\)

0.139

10311

\(\left [\begin {array}{ccc} 7 & -8 & 3 \\ 6 & -7 & 3 \\ 2 & -2 & 2 \end {array}\right ]\)

0.196

10312

\(\left [\begin {array}{ccc} 6 & -5 & 2 \\ 4 & -3 & 2 \\ 2 & -2 & 3 \end {array}\right ]\)

0.217

10313

\(\left [\begin {array}{ccc} 1 & 1 & -1 \\ -2 & 4 & -1 \\ -4 & 4 & 1 \end {array}\right ]\)

0.19

10314

\(\left [\begin {array}{ccc} 2 & 0 & 0 \\ -6 & 11 & 2 \\ 6 & -15 & 0 \end {array}\right ]\)

0.209

10315

\(\left [\begin {array}{ccc} 0 & 1 & 0 \\ -1 & 2 & 0 \\ -1 & 1 & 1 \end {array}\right ]\)

0.087

10316

\(\left [\begin {array}{ccc} 2 & -2 & 1 \\ -1 & 2 & 0 \\ -5 & 7 & -1 \end {array}\right ]\)

0.085

10317

\(\left [\begin {array}{ccc} -2 & 4 & -1 \\ -3 & 5 & -1 \\ -1 & 1 & 1 \end {array}\right ]\)

0.131

10318

\(\left [\begin {array}{ccc} 3 & -2 & 1 \\ 1 & 0 & 1 \\ -1 & 1 & 2 \end {array}\right ]\)

0.131

10319

\(\left [\begin {array}{cccc} 1 & 0 & -2 & 0 \\ 0 & 1 & -2 & 0 \\ 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & -1 \end {array}\right ]\)

0.145

10320

\(\left [\begin {array}{cccc} 1 & 0 & 0 & 1 \\ 0 & 1 & 0 & 1 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 0 & 2 \end {array}\right ]\)

0.141

10321

\(\left [\begin {array}{cccc} 1 & 1 & 0 & 0 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 0 & 2 \end {array}\right ]\)

0.129

10322

\(\left [\begin {array}{cccc} 1 & 1 & 0 & 1 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & 2 & 1 \\ 0 & 0 & 0 & 2 \end {array}\right ]\)

0.126

10323

\(\left [\begin {array}{ccccc} 2 & 1 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 & 0 \\ 0 & 0 & 2 & 0 & 0 \\ 0 & 0 & 0 & 2 & 1 \\ 0 & 0 & 0 & 0 & 2 \end {array}\right ]\)

0.093

11951

\(\left [\begin {array}{cc} 1 & 2 \\ 3 & 2 \end {array}\right ]\)

0.167

11952

\(\left [\begin {array}{cc} 3 & 2 \\ 6 & -1 \end {array}\right ]\)

0.165

11953

\(\left [\begin {array}{cc} 3 & 1 \\ 12 & 2 \end {array}\right ]\)

0.185

11954

\(\left [\begin {array}{cc} -2 & 7 \\ 3 & 2 \end {array}\right ]\)

0.173

11955

\(\left [\begin {array}{cc} 3 & 4 \\ 5 & 2 \end {array}\right ]\)

0.169

11956

\(\left [\begin {array}{cc} 3 & -5 \\ -4 & 2 \end {array}\right ]\)

0.176

11957

\(\left [\begin {array}{ccc} 1 & 1 & -1 \\ 2 & 3 & -4 \\ 4 & 1 & -4 \end {array}\right ]\)

0.283

11958

\(\left [\begin {array}{ccc} 1 & -1 & -1 \\ 1 & 3 & 1 \\ -3 & -6 & 6 \end {array}\right ]\)

0.304

11959

\(\left [\begin {array}{ccc} 1 & -1 & -1 \\ 1 & 3 & 1 \\ -3 & 1 & -1 \end {array}\right ]\)

0.292

11960

\(\left [\begin {array}{ccc} 1 & 1 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 1 \end {array}\right ]\)

0.251

11961

\(\left [\begin {array}{ccc} 1 & 3 & -6 \\ 0 & 2 & 2 \\ 0 & -1 & 5 \end {array}\right ]\)

0.264

11962

\(\left [\begin {array}{ccc} -5 & -12 & 6 \\ 1 & 5 & -1 \\ -7 & -10 & 8 \end {array}\right ]\)

0.285

11963

\(\left [\begin {array}{ccc} -2 & 5 & 5 \\ -1 & 4 & 5 \\ 3 & -3 & 2 \end {array}\right ]\)

0.296

11964

\(\left [\begin {array}{ccc} -2 & 6 & -18 \\ 12 & -23 & 66 \\ 5 & -10 & 29 \end {array}\right ]\)

0.299

12087

\(\left [\begin {array}{cc} 2 & 2 \\ 0 & -4 \end {array}\right ]\)

0.153

12088

\(\left [\begin {array}{cc} 7 & -2 \\ 26 & -1 \end {array}\right ]\)

0.256

12089

\(\left [\begin {array}{cc} 9 & 2 \\ 2 & 6 \end {array}\right ]\)

0.185

12090

\(\left [\begin {array}{cc} 7 & 1 \\ -4 & 11 \end {array}\right ]\)

0.122

12091

\(\left [\begin {array}{cc} 2 & -3 \\ 3 & 2 \end {array}\right ]\)

0.223

12092

\(\left [\begin {array}{cc} 6 & 0 \\ 0 & -13 \end {array}\right ]\)

0.126

12093

\(\left [\begin {array}{cc} 4 & -2 \\ 1 & 2 \end {array}\right ]\)

0.228

12094

\(\left [\begin {array}{cc} 3 & -1 \\ 1 & 1 \end {array}\right ]\)

0.103

12095

\(\left [\begin {array}{cc} -7 & 6 \\ 12 & -1 \end {array}\right ]\)

0.175

12830

\(\left [\begin {array}{cc} -2 & -4 \\ 1 & 3 \end {array}\right ]\)

0.125

12831

\(\left [\begin {array}{cc} -3 & -1 \\ 2 & -1 \end {array}\right ]\)

0.175

12832

\(\left [\begin {array}{ccc} 1 & 0 & 1 \\ 0 & 1 & -1 \\ -2 & 0 & -1 \end {array}\right ]\)

0.257

12833

\(\left [\begin {array}{ccc} 3 & 1 & -1 \\ 1 & 3 & -1 \\ 3 & 3 & -1 \end {array}\right ]\)

0.166

12834

\(\left [\begin {array}{ccc} 7 & -1 & 6 \\ -10 & 4 & -12 \\ -2 & 1 & -1 \end {array}\right ]\)

0.223

12835

\(\left [\begin {array}{cccc} 1 & 1 & 1 & 1 \\ 1 & 1 & 1 & 1 \\ 1 & 1 & 1 & 1 \\ 1 & 1 & 1 & 1 \end {array}\right ]\)

0.199

12836

\(\left [\begin {array}{cccc} 1 & 3 & 5 & 7 \\ 2 & 6 & 10 & 14 \\ 3 & 9 & 15 & 21 \\ 6 & 18 & 30 & 42 \end {array}\right ]\)

0.243

12837

\(\left [\begin {array}{ccccc} 1 & 3 & 5 & 2 & 4 \\ 5 & 2 & 4 & 1 & 3 \\ 4 & 1 & 3 & 5 & 2 \\ 3 & 5 & 2 & 4 & 1 \\ 2 & 4 & 1 & 3 & 5 \end {array}\right ]\)

6.331

13142

\(\left [\begin {array}{cc} 1 & 0 \\ 0 & 2 \end {array}\right ]\)

0.174

13143

\(\left [\begin {array}{cc} 0 & 1 \\ 2 & 0 \end {array}\right ]\)

0.285

13145

\(\left [\begin {array}{cc} 1 & 0 \\ 2 & 3 \end {array}\right ]\)

0.189