5.28 LAB: Matrix multiplication (JAVA) A matrix is a rectangle of numbers in rows and columns. A 1xN matrix has one row and N columns. An NxN matrix has N rows and N columns. Multiplying a 1xN matrix A and an NxN matrix B produces a 1xN matrix C. To determine the Nth element of C multiply each element of A by each element of the Nth column of B and sum the results. Helpful information can be found at matrix multiplication. Write a program in java that reads a 1xN matrix A and an NxN matrix B from input and outputs the 1xN matrix product, C. The first integer input is N, followed by one row of N integers for matrix A and then N rows of N integers for matrix B. N can be of any size >= 2. For coding simplicity, follow each output integer by a space, even the last one. The output ends with a newline. Ex: If the input is: 2 2 3 1 2 3 4 A contains 2 and 3, the first row of B contains 1 and 2, and the second row of B contains 3 and 4. The first element of C is (2 * 1) + (3 * 3), and the second element of C is (2 * 2) + (3 * 4). The program output is: 11 16 Note: Store matrices A and C into one-dimensional arrays and matrix B into a two-dimensional array. Code starts here: import java.util.Scanner; public class LabProgram { public static void main(String[] args) { Scanner scnr = new Scanner(System.in); int n; n = scnr.nextInt(); int[] matrixA = new int[n]; // Matrix A int[][] matrixB = new int[n][n]; // Matrix B int[] matrixC = new int[n]; // Matrix C /* Type your code here. */ } }
5.28 LAB: Matrix multiplication (JAVA)
A matrix is a rectangle of numbers in rows and columns. A 1xN matrix has one row and N columns. An NxN matrix has N rows and N columns.
Multiplying a 1xN matrix A and an NxN matrix B produces a 1xN matrix C. To determine the Nth element of C multiply each element of A by each element of the Nth column of B and sum the results. Helpful information can be found at matrix multiplication.
Write a
For coding simplicity, follow each output integer by a space, even the last one. The output ends with a newline.
Ex: If the input is:
2 2 3 1 2 3 4A contains 2 and 3, the first row of B contains 1 and 2, and the second row of B contains 3 and 4. The first element of C is (2 * 1) + (3 * 3), and the second element of C is (2 * 2) + (3 * 4). The program output is:
11 16Note: Store matrices A and C into one-dimensional arrays and matrix B into a two-dimensional array.
Code starts here:
import java.util.Scanner;
public class LabProgram {
public static void main(String[] args) {
Scanner scnr = new Scanner(System.in);
int n;
n = scnr.nextInt();
int[] matrixA = new int[n]; // Matrix A
int[][] matrixB = new int[n][n]; // Matrix B
int[] matrixC = new int[n]; // Matrix C
/* Type your code here. */
}
}
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