so, I have this 4x4 matrix and I want to calculate it's determinant, I have typed everything in wolfram alpha: http://www.wolframalpha.com/input/?i=det%5B%7B%7B1-X%2C0%2C0%2C1%7D%2C%7B0%2C-1-X%2C-1%2C0%7D%2C%7B-1%2C0%2C-X%2C-1%7D%2C%7B0%2C1%2C1%2C-X%7D%7D%5D
the determinant is x^4, which I can't see why. I tried using Laplace on the first line to get two 3x3 matrixes and the result is different, I must be doing something wrong: http://www.wolframalpha.com/input/?i=det%5B%7B%7B0%2C-1-X%2C-1%7D%2C%7B-1%2C0%2C-X%7D%2C%7B0%2C1%2C1%7D%7D%5D*%28-1%29 and http://www.wolframalpha.com/input/?i=det%5…