UTRGV Mech. Eng. Department Name: Student ID: Mech. Eng. Analysis 1 Spring 2020 Lab 2 Jan. 16th Complex Numbers, Cauchy-Riemann, Exponential Functions 1. Complex Numbers: Cauchy-Re In MATLAB, a complex number is expressed in the following way: z = a + bi; where "a" is the real part and "b" is the imaginary part. Examples: >>23 >>22 7+ 8i 9-18i >>zl=-12-5i Draw these complex numbers in 2D: Try in MATLAB and make sure you understand the following commands: norm; atan; atand; atan2; atan2d; abs; angle.... For help in MATLAB, use: >> help atan2d What are the results of the following operations in Matlab, indicate the units (rad, degress, meters, ...) assuming the complex numbers represent distance in meters? Indicate each one of them in the 2D coordinate system. >> norm(z1) >> conj(z1) >> real(z1) >> imag(z1) >> theta 1 atan(imag(z1)/real(z1)) >>theta_2 atan2d(imag(z1),real(z1)) >> theta 3-angle(z1) Page 1 of 3