Cody

# Problem 2130. Orthonormal matrix

Solution 2782735

Submitted on 4 Aug 2020 by Casey Cavanaugh
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### Test Suite

Test Status Code Input and Output
1   Pass
a=[1 0 0 ;0 1 0;0 0 1] tf = 1; assert(isequal(ortho_normal(a),tf))

a = 1 0 0 0 1 0 0 0 1

2   Pass
a=[0 0 1 0;0 1 0 0;1 0 0 0;0 0 0 1] tf = 1; assert(isequal(ortho_normal(a),tf))

a = 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1

3   Pass
a=eye(20) k=a; p=a; a(:,1)=k(:,end); a(:,end)=k(:,1); a(:,5)=p(:,9); a(:,9)=p(:,5) tf = 1; assert(isequal(ortho_normal(a),tf))

a = 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 a = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

4   Pass
a=[1 0 1 0;0 1 0 0;1 0 0 0;0 0 0 1] tf = 0; assert(isequal(ortho_normal(a),tf))

a = 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1

5   Pass
a=[0 0 2 0;0 1 0 0;1 0 -1 0;0 0 0 1] tf = 0; assert(isequal(ortho_normal(a),tf))

a = 0 0 2 0 0 1 0 0 1 0 -1 0 0 0 0 1

6   Pass
a=[1 2 3 ;1 1 5;3 0 1] tf = 0; assert(isequal(ortho_normal(a),tf))

a = 1 2 3 1 1 5 3 0 1

7   Pass
a =[1 0 0 ;0 0 0; 0 0 0] tf = 0; assert(isequal(ortho_normal(a),tf))

a = 1 0 0 0 0 0 0 0 0 [Warning: Matrix is singular to working precision.] [> In ortho_normal (line 2) In ScoringEngineTestPoint7 (line 3) In solutionTest (line 15) In matlab.unittest.internal.executeCodeBlock (line 11) In matlab.unittest.internal/ScriptTestCaseProvider/evaluateTestSection (line 134) In matlab.unittest.internal/ScriptTestCaseProvider/runTestSection (line 128) In matlab.unittest.internal.ScriptTestCaseProvider>@(testCase)provider.runTestSection(testCase) (line 94) In matlab.unittest/FunctionTestCase/test (line 96) In matlab.unittest/TestRunner/evaluateMethodCore (line 873) In matlab.unittest/TestRunner/evaluateMethod (line 1190) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 928) In matlab.unittest.plugins/TestRunnerPlugin/evaluateMethod (line 729) In scoringengine/OutputPlugin/evaluateMethod In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest.plugins/TestRunnerPlugin/evaluateMethod (line 729) In scoringengine/FiguresPlugin/evaluateMethod In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest/TestRunner/evaluateMethodOnPlugins (line 438) In matlab.unittest/TestRunner/evaluateMethodsOnTestContent (line 815) In matlab.unittest/TestRunner/runTestMethod (line 1186) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 928) In matlab.unittest.plugins/TestRunnerPlugin/runTestMethod (line 648) In scoringengine/OutputPlugin/runTestMethod In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest.plugins/TestRunnerPlugin/runTestMethod (line 648) In scoringengine/FiguresPlugin/runTestMethod In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest/TestRunner/evaluateMethodOnPlugins (line 438) In matlab.unittest/TestRunner/runTest (line 1133) In matlab.unittest/TestRunner/repeatTest (line 516) In matlab.unittest/TestRunner/runSharedTestCase (line 472) In matlab.unittest/TestRunner/runTestClass (line 1042) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 928) In matlab.unittest/TestRunner/evaluateMethodOnPlugins (line 438) In matlab.unittest/TestRunner/runTestSuite (line 979) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 928) In matlab.unittest.plugins/TestRunnerPlugin/runTestSuite (line 265) In scoringengine/OutputPlugin/runTestSuite In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest.plugins/TestRunnerPlugin/runTestSuite (line 265) In scoringengine/FiguresPlugin/runTestSuite In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest.plugins/TestRunnerPlugin/runTestSuite (line 265) In matlab.unittest.plugins/DiagnosticsRecordingPlugin/runTestSuite (line 201) In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest/TestRunner/evaluateMethodOnPlugins (line 438) In matlab.unittest/TestRunner/evaluateMethodOnPluginsFromMethodName (line 426) In matlab.unittest.internal/SerialTestRunStrategy/runSession (line 22) In matlab.unittest/TestRunner/runSession (line 940) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 928) In matlab.unittest/TestRunner/evaluateMethodOnPlugins (line 438) In matlab.unittest/TestRunner/evaluateMethodOnPluginsFromMethodName (line 426) In matlab.unittest/TestRunner/doRunWithFcn (line 409) In matlab.unittest/TestRunner/run (line 297) In scoringengine.verifyCode In scoringengine.verifyCode In connector.internal.fevalMatlab In connector.internal.fevalJSON ]

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