Cody

# Problem 451. Is this matrix orthogonal?

Solution 2050415

Submitted on 8 Dec 2019
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

### Test Suite

Test Status Code Input and Output
1   Fail
x = orth(randn(3)); y_correct = true; assert(isequal(isOrthogonal(x),y_correct))

x_size = 3 ans = -0.9054 -0.4005 0.1409 0.3093 -0.8496 -0.4273 0.2908 -0.3432 0.8931 ans = -0.9054 -0.4005 0.1409 0.3093 -0.8496 -0.4273 0.2908 -0.3432 0.8931

Assertion failed.

2   Fail
x = orth(randn(4)); y_correct = true; assert(isequal(isOrthogonal(x),y_correct))

x_size = 4 ans = -0.0714 0.0534 0.9288 -0.3597 -0.4236 0.8879 -0.0145 0.1787 0.3018 -0.0271 0.3656 0.8801 -0.8511 -0.4560 0.0589 0.2534 ans = -0.0714 0.0534 0.9288 -0.3597 -0.4236 0.8879 -0.0145 0.1787 0.3018 -0.0271 0.3656 0.8801 -0.8511 -0.4560 0.0589 0.2534

Assertion failed.

3   Fail
x = orth(randn(5)); y_correct = true; assert(isequal(isOrthogonal(x),y_correct))

x_size = 5 ans = -0.6971 0.0324 0.1133 0.3271 -0.6271 0.4377 -0.6715 -0.0755 -0.0965 -0.5852 -0.0020 0.4835 -0.2611 -0.7324 -0.4020 0.1675 0.2035 -0.8358 0.4752 -0.0788 0.5426 0.5222 0.4634 0.3486 -0.3107 ans = -0.6971 0.0324 0.1133 0.3271 -0.6271 0.4377 -0.6715 -0.0755 -0.0965 -0.5852 -0.0020 0.4835 -0.2611 -0.7324 -0.4020 0.1675 0.2035 -0.8358 0.4752 -0.0788 0.5426 0.5222 0.4634 0.3486 -0.3107

Assertion failed.

4   Pass
x=sqrt([3,1;1,1]); y_correct = false; assert(isequal(isOrthogonal(x),y_correct))

x_size = 2 ans = 1.7321 1.0000 1.0000 1.0000 ans = 1.3660 -1.3660 -1.3660 2.3660

5   Pass
x = magic(6); y_correct = false; assert(isequal(isOrthogonal(x),y_correct))

x_size = 6 ans = 35 3 31 8 30 4 1 32 9 28 5 36 6 7 2 33 34 29 26 21 22 17 12 13 19 23 27 10 14 18 24 25 20 15 16 11 [Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.001607e-19.] [> In isOrthogonal (line 4) In ScoringEngineTestPoint5 (line 3) In solutionTest (line 11) 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 870) In matlab.unittest/TestRunner/evaluateMethod (line 1186) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) 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 812) In matlab.unittest/TestRunner/runTestMethod (line 1182) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) 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 1129) In matlab.unittest/TestRunner/repeatTest (line 516) In matlab.unittest/TestRunner/runSharedTestCase (line 472) In matlab.unittest/TestRunner/runTestClass (line 1039) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) In matlab.unittest/TestRunner/evaluateMethodOnPlugins (line 438) In matlab.unittest/TestRunner/runTestSuite (line 976) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) 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 199) 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 21) In matlab.unittest/TestRunner/runSession (line 937) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) 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 ] ans = 1.0e+15 * 2.2518 -0.0000 -2.2518 -2.2518 -0.0000 2.2518 2.2518 -0.0000 -2.2518 -2.2518 -0.0000 2.2518 -1.1259 0.0000 1.1259 1.1259 0.0000 -1.1259 -2.2518 0.0000 2.2518 2.2518 0.0000 -2.2518 -2.2518 0.0000 2.2518 2.2518 0.0000 -2.2518 1.1259 0 -1.1259 -1.1259 0 1.1259 [Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.001607e-19.] [> In isOrthogonal (line 5) In ScoringEngineTestPoint5 (line 3) In solutionTest (line 11) 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 870) In matlab.unittest/TestRunner/evaluateMethod (line 1186) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) 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 812) In matlab.unittest/TestRunner/runTestMethod (line 1182) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) 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 1129) In matlab.unittest/TestRunner/repeatTest (line 516) In matlab.unittest/TestRunner/runSharedTestCase (line 472) In matlab.unittest/TestRunner/runTestClass (line 1039) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) In matlab.unittest/TestRunner/evaluateMethodOnPlugins (line 438) In matlab.unittest/TestRunner/runTestSuite (line 976) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) 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 199) 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 21) In matlab.unittest/TestRunner/runSession (line 937) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) 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 ]

6   Pass
x = randn(2)+1; y_correct = false; assert(isequal(isOrthogonal(x),y_correct))

x_size = 2 ans = 0.8733 1.3708 2.4263 1.3630 ans = -0.6382 1.1360 0.6418 -0.4089