MATH 160 Spring 2025
Introduction to Discrete Mathematics
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Charles Cusack
Math & Stats
Hope College
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Homework 16

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55.37Start by letting X be the matrix with entries a, b, c, d in the 4 spots. The plug into the left and you will get a 2x2 matrix that is equal to the all ones matrix, which means you will have 4 equations with 4 unknowns. Plug them into each other to find a solution.
55.39To be clear, you need to find a matrix A and a matrix B such that they matrices satisfy all 4 of the properties (not different examples for each of the 4 properties).