Cody

# Problem 451. Is this matrix orthogonal?

Solution 1706008

Submitted on 11 Jan 2019 by Nikolaos Nikolaou
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### Test Suite

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

t = 1 0 0 0 1 0 0 0 1 ans = 1 0 0 0 1 0 0 0 1 y = 1

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

t = 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 ans = 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 y = 1

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

t = 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 ans = 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 y = 1

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

t = 1 0 0 1 ans = 4 3 3 2 y = 0

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

t = 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 ans = 2875 1762 2671 1498 2221 1294 1762 2677 1978 2113 1462 2329 2671 1978 2659 1510 2005 1498 1498 2113 1510 2551 2086 2563 2221 1462 2005 2086 2677 1870 1294 2329 1498 2563 1870 2767 y = 0

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

t = 1 0 0 1 ans = 1 1 1 5 y = 0