2.20.53 Collection of Eigenvalues and Eigenvectors problems

Column notations: A is ODE degree. B is Program Number of solutions generated. C is CAS Number of solutions generated.

Table 2.484: Collection of Eigenvalues and Eigenvectors problems

#

ODE

A

B

C

Program classification

CAS classification

Solved?

Verified?

time (sec)

10261

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

Eigenvectors

N/A

N/A

0.11

10262

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

Eigenvectors

N/A

N/A

0.108

10263

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

Eigenvectors

N/A

N/A

0.109

10264

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

Eigenvectors

N/A

N/A

0.115

10265

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

Eigenvectors

N/A

N/A

0.112

10266

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

Eigenvectors

N/A

N/A

0.116

10267

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

Eigenvectors

N/A

N/A

0.109

10268

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

Eigenvectors

N/A

N/A

0.119

10269

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

Eigenvectors

N/A

N/A

0.127

10270

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

Eigenvectors

N/A

N/A

0.138

10271

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

Eigenvectors

N/A

N/A

0.123

10272

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

Eigenvectors

N/A

N/A

0.126

10273

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

Eigenvectors

N/A

N/A

0.213

10274

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

Eigenvectors

N/A

N/A

0.207

10275

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

Eigenvectors

N/A

N/A

0.197

10276

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

Eigenvectors

N/A

N/A

0.189

10277

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

Eigenvectors

N/A

N/A

0.184

10278

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

Eigenvectors

N/A

N/A

0.216

10279

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

Eigenvectors

N/A

N/A

0.135

10280

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

Eigenvectors

N/A

N/A

0.168

10281

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

Eigenvectors

N/A

N/A

0.157

10282

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

Eigenvectors

N/A

N/A

0.153

10283

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

Eigenvectors

N/A

N/A

0.249

10284

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

Eigenvectors

N/A

N/A

0.162

10285

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

Eigenvectors

N/A

N/A

0.151

10286

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

Eigenvectors

N/A

N/A

0.244

10287

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

Eigenvectors

N/A

N/A

0.157

10288

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

Eigenvectors

N/A

N/A

0.147

10289

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

Eigenvectors

N/A

N/A

0.153

10290

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

Eigenvectors

N/A

N/A

0.149

10291

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

Eigenvectors

N/A

N/A

0.163

10292

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

Eigenvectors

N/A

N/A

0.155

10293

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

Eigenvectors

N/A

N/A

0.22

10294

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

Eigenvectors

N/A

N/A

0.358

10295

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

Eigenvectors

N/A

N/A

0.111

10296

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

Eigenvectors

N/A

N/A

0.115

10297

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

Eigenvectors

N/A

N/A

0.114

10298

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

Eigenvectors

N/A

N/A

0.113

10299

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

Eigenvectors

N/A

N/A

0.115

10300

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

Eigenvectors

N/A

N/A

0.122

10301

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

Eigenvectors

N/A

N/A

0.126

10302

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

Eigenvectors

N/A

N/A

0.127

10303

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

Eigenvectors

N/A

N/A

0.075

10304

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

Eigenvectors

N/A

N/A

0.068

10305

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

Eigenvectors

N/A

N/A

0.077

10306

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

Eigenvectors

N/A

N/A

0.083

10307

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

Eigenvectors

N/A

N/A

0.129

10308

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

Eigenvectors

N/A

N/A

0.154

10309

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

Eigenvectors

N/A

N/A

0.148

10310

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

Eigenvectors

N/A

N/A

0.139

10311

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

Eigenvectors

N/A

N/A

0.196

10312

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

Eigenvectors

N/A

N/A

0.217

10313

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

Eigenvectors

N/A

N/A

0.19

10314

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

Eigenvectors

N/A

N/A

0.209

10315

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

Eigenvectors

N/A

N/A

0.087

10316

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

Eigenvectors

N/A

N/A

0.085

10317

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

Eigenvectors

N/A

N/A

0.131

10318

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

Eigenvectors

N/A

N/A

0.131

10319

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

Eigenvectors

N/A

N/A

0.145

10320

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

Eigenvectors

N/A

N/A

0.141

10321

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

Eigenvectors

N/A

N/A

0.129

10322

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

Eigenvectors

N/A

N/A

0.126

10323

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

Eigenvectors

N/A

N/A

0.093