assig10_2011 - Math 152 Spring 2011 Assignment#10 Notes...

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Math 152, Spring 2011 Assignment #10 Notes: Each question is worth 5 marks. Due in class: Monday, March 21 for MWF sections; Tuesday, March 22 for TTh sections. Solutions will be posted Tuesday, March 22 in the afternoon. No late assignments will be accepted. 1. Consider the complex linear system: x 1 - 2 ix 2 = 3 i - x 1 + 3 x 2 = - 2 All complex numbers appearing in your final answers of the following questions must be in the form a + bi with a, b real numbers. (a) Write the system in the form A x = b where A is a matrix with complex entries and b is a vector with complex coordinates. (b) Compute det A . (c) Compute A - 1 . (d) Use the previous question to solve the original system. (e) What MATLAB commands would enter the matrix A and compute its inverse? 2. Let z 1 = 1 - i and z 2 = 1 + 3 i . (a) Compute z 1 z 2 in the form
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