Consider the following two systems. (a) (b) 3x+5y -2x + 3y || || = -1 2 3x+5y -2x + 3y 1 = -4 (i) Find the inverse of the (common) coefficient matrix of the two systems. A-1 = [88] (ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-1B where B represents the right hand side (i.e. B = for system (b)). for system (a) and B = 2 Solution to system (a): x = Solution to system (b): x = y = y =
Consider the following two systems. (a) (b) 3x+5y -2x + 3y || || = -1 2 3x+5y -2x + 3y 1 = -4 (i) Find the inverse of the (common) coefficient matrix of the two systems. A-1 = [88] (ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-1B where B represents the right hand side (i.e. B = for system (b)). for system (a) and B = 2 Solution to system (a): x = Solution to system (b): x = y = y =
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CT: Test
Problem 17CT
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