Introduction to Java Programming and Data Structures, Comprehensive Version Plus MyProgrammingLab with Pearson EText -- Access Card Package
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Chapter 8, Problem 8.30PE

(Algebra: solve linear equations) Write a method that solves the following 2 × 2 system of linear equations:

a 00 x + a 01 y = b 0 a 10 x + a 11 y = b 1 x = b 0 a 11 b 1 a 01 a 00 a 11 a 01 a 10 y = b 1 a 00 b 0 a 10 a 00 a 11 a 01 a 10

The method header is:

public static double[] linearEquation{double[][] a, double[] b)

The method returns null if a00a11a01a10 is 0. Write a test program that prompts the user to enter a00, a01, a10, a11, b0 and b1 and displays the result. If a00a11a01a10 is 0, report that “The equation has no solution.” A sample run is similar to Programming Exercise 3.3.

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Chapter 8 Solutions

Introduction to Java Programming and Data Structures, Comprehensive Version Plus MyProgrammingLab with Pearson EText -- Access Card Package

Ch. 8.8 - Declare an array variable for a three-dimensional...Ch. 8.8 - Assume char[][][] x =new char[12][5][2], how many...Ch. 8.8 - Show the output of the following code: int[][][]...Ch. 8 - (Sum elements column by column) Write a method...Ch. 8 - (Sum the major diagonal in a matrix) Write a...Ch. 8 - (Sort students on grades) Rewrite Listing 8.2,...Ch. 8 - (Compute the weekly hours for each employee)...Ch. 8 - (Algebra: add two matrices) Write a method to add...Ch. 8 - (Algebra: multiply two matrices) Write a method to...Ch. 8 - (Points nearest to each other) Listing 8.3 gives a...Ch. 8 - (All closest pairs of points) Revise Listing 8.3,...Ch. 8 - Prob. 8.9PECh. 8 - (Largest row and column) Write a program that...Ch. 8 - (Game: nine heads and tails) Nine coins are placed...Ch. 8 - (Financial application: compute tax) Rewrite...Ch. 8 - (Locate the largest element) Write the following...Ch. 8 - (Explore matrix) Write a program that prompts the...Ch. 8 - (Geometry: same line ?) Programming Exercise 6.39...Ch. 8 - (Sort two-dimensional array) Write a method to...Ch. 8 - (Financial tsunami) Banks lend money to each...Ch. 8 - (Shuffle rows) Write a method that shuffles the...Ch. 8 - (Pattern recognition: four consecutive equal...Ch. 8 - Prob. 8.20PECh. 8 - (Central city) Given a set of cities, the central...Ch. 8 - (Even number of 1s) Write a program that generates...Ch. 8 - (Game: find the flipped cell) Suppose you are...Ch. 8 - (Check Sudoku solution) Listing 8.4 checks whether...Ch. 8 - Prob. 8.25PECh. 8 - (Row sorting) Implement the following method to...Ch. 8 - (Column sorting) Implement the following method to...Ch. 8 - (Strictly identical arrays) The two-dimensional...Ch. 8 - (Identical arrays) The two-dimensional arrays m1...Ch. 8 - (Algebra: solve linear equations) Write a method...Ch. 8 - (Geometry: intersecting point) Write a method that...Ch. 8 - (Geometry: area of a triangle) Write a method that...Ch. 8 - (Geometry: polygon subareas) A convex four-vertex...Ch. 8 - (Geometry: rightmost lowest point) In...Ch. 8 - (Largest block) Given a square matrix with the...Ch. 8 - (Latin square) A Latin square is an n-by-n array...Ch. 8 - (Guess the capitals) Write a program that...

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