Question
r exp(10/2). Here z = Let log(z) denote the branch of the logarithm with imaginary part lying in (-, ] and let z =
r exp(10/2). Here z = Let log(z) denote the branch of the logarithm with imaginary part lying in (-, ] and let z = exp(log(z)/2) = r exp(ie), r > 0, < 0 , and r refers to the positive square root of r. a) For which complex numbers z does z2 = z hold? b) Explain which step here is false, and why: 1 = : = (1)(1) = 11 = i = 1.
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Applied Linear Algebra
Authors: Peter J. Olver, Cheri Shakiban
1st edition
131473824, 978-0131473829
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