Answered: public static double[][]…

Engineering

Computer Science

public static double[][] multiplyMatrix(double[][] a, double[][] b)

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 12PE

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Question

(Algebra: multiply two matrices) Write a method to multiply two matrices. The header of the method is:

public static double[][] multiplyMatrix(double[][] a, double[][] b)

To multiply matrix a by matrix b, the number of columns in a must be the same as the number of rows in b, and the two matrices must have elements of the same or compatible types. Let c be the result of the multiplication. Assume the column size of matrix a is n. Each element cij is ai1 × b1j + ai2 × b2j + g + ain × bnj. For example, for two 3 × 3 matrices a and b, c is

a₁₁a₁₂a₁₃

a₂₁a₂₂a₂₃

a₃₁a₃₂a₃₃

where cij = ai1 * b1j + ai2 * b2j + ai3 * b3j .

Write a test program that prompts the user to enter two 3 * 3 matrices and displays their product.

12. (Algebra: multiply two matrices) Write a method to multiply two matrices. The
header of the method is:
public static double] multiplyMatrix(double[] a, double[]] b)
To multiply matrix a by matrix b, the number of columns in a must be the same
as the number of rows in b, and the two matrices must have elements of the
same or compatible types. Let c be the result of the multiplication. Assume the
column size of matrix a is n. Each element cij is ai1 x b1j + ai2 x b2j + g + ain x
bnj. For example, for two 3 x 3 matrices a and b, c is
b13
C11
C12
C13
bu b12
X| b21
a12
A13
b22
b23
C21
C22
С23
a21
a23
A3,
b31
b32
b33/
C31
C32
C3,
a31
A32
where cij = ai1 * b1j + ai2 * b2j + ai3 * b3j .
%3D

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