A ternary matrix is a matrix whose entries are either 0,1 or 2. (a) How many...
A ternary matrix is a matrix whose entries are either 0,1 or 2. (a) How many ternary matrices of size mxn (that means, with m rows and n columns) are there? (b) How many ternary matrices of size 5x4 if 10 entries must be 0's, 6 entries must be 1's and 4 entries must must be 2's?
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A ternary matrix is a matrix whose entries are either 0,1 or 2.
(a) How many...
) A binary mxn matrix is a matrix with m rows and n columns, whose entries...
) A binary mxn matrix is a matrix with m rows and n columns, whose entries can be only 0 or 1. How many mxn binary matrices are there?
Let A be a matrix of size m xn. Show that AAT and AT A are...
Let A be a matrix of size m xn. Show that AAT and AT A are both square matrices (equal number of rows and columns) (10 pts) If A is mXn then A is nXm so AA must have size mXm Similarly, A" A must be nxn
A standard card deck consists of 52 cards, divided into four groups of 13 cards (called...
A standard card deck consists of 52 cards, divided into four groups of 13 cards (called suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠)). In each suit, the cards have 13 different "faces": A,2,3,4,5,6,7,8,9,10, J, Q, K. (a) in how many ways can I select five cards from the deck? (b) in how many ways can I select five cards from the deck, if all cards must belong to the same suit? (c) in how many ways can...
please answer both questions thank you! How many rows and columns must a matrix A have...
please answer both questions thank you!
How many rows and columns must a matrix A have in order to define a mapping from R into R by the rule T(x) Ax? Choose the correct answer below OA. The matrix A must have 7 rows and 7 columns. O B. The matrix A must have 9 rows and 7 columns OC. The matrix A must have 9 rows and 9 columns O D. The matrix A must have 7 rows and...
In C++ Design a class to perform various matrix operations. A matrix is a set of...
In C++
Design a class to perform various matrix operations. A matrix is a set of numbers arranged in rows and columns. Therefore, every element of a matrix has a row position and a column position. If A is a matrix of five rows and six columns, we say that the matrix A is of the size 5 X 6 and sometimes denote it as Asxc. Clearly, a convenient place to store a matrix is in a two-dimensional array. Two...
Problem 1 Write your code in the file MatrixOps.java. . Consider the following definitions from matrix...
Problem 1 Write your code in the file MatrixOps.java. . Consider the following definitions from matrix algebra: A vector is a one-dimensional set of numbers, such as [42 9 20]. The dot product of two equal-length vectors A and B is computed by multiplying the first entry of A by the first entry of B, the second entry of A by the second entry of B, etc., and then summing these products. For example, the dot product of [42 9...
C++ must use header files and implementation files as separate files. I’ll need a header file,...
C++ must use header files and implementation files as separate files. I’ll need a header file, implementation file and the main program file at a minimum. Compress these files into one compressed file. Make sure you have adequate documentation. We like to manipulate some matrix operations. Design and implement a class named matrixMagic that can store a matrix of any size. 1. Overload the addition, subtraction, and multiplication operations. 2. Overload the extraction (>>) and insertion (<<) operators to read...
how can i solve the system of these magic matrices using matlab software ? Exercice 3. A magic matrix is a square matrix with integer entries in which all the rows, columns and the two diagona...
how can i solve the system of these magic matrices using
matlab software ?
Exercice 3. A magic matrix is a square matrix with integer entries in which all the rows, columns and the two diagonals have the same sum. For example, A- 3 5 7 4 9 2 Complete the following magic matrices 17? ?? 3 ? 2 ? 2? ? Do the following steps in each case: 1. Write the system of equations and put it under the...
Why is my multiplication wrong when i do a matrix of 3 x 5 and 2...
Why is my multiplication wrong when i do a matrix of 3 x 5 and 2
x 2?
code below
import java.util.*;
public class matrix {
public static
void main(String[] args) {
int m, n, i, j;
Random rand = new Random();
Scanner scan = new
Scanner(System.in);
System.out.print("enter how many
rows:");
m = scan.nextInt();
System.out.print("enter how many
columns:");
n=scan.nextInt();
int matrix_1[][] = new
int[m][n]; //Initialize matrixes
int maritx_2[][] = new
int[m][n];
int matrix_add[][] = new
int[m][n];
int matrix_mul[][] = new...
Let A = Construct a 4x2 matrix D
Let A = Construct a 4x2 matrix D, using only 1 and 0 as entries, such that AD = I2. Is it possible that CA =I4 for some 4X2 matrix C? Explain. Is it possible that CA = I4 for some 4 x 2 matrix C? Explain. Choose the correct answer below. A. No, because neither C nor A are invertible. When writing lm as the product of two matrices, since lm is invertible, those two matrices will also be invertible. B. Yes, because...
Let A be a matrix of size m xn. Show that AAT and AT A are both square matrices (equal number of rows and columns) (10 pts) If A is mXn then A is nXm so AA must have size mXm Similarly, A" A must be nxn
please answer both questions thank you!
How many rows and columns must a matrix A have in order to define a mapping from R into R by the rule T(x) Ax? Choose the correct answer below OA. The matrix A must have 7 rows and 7 columns. O B. The matrix A must have 9 rows and 7 columns OC. The matrix A must have 9 rows and 9 columns O D. The matrix A must have 7 rows and...
In C++
Design a class to perform various matrix operations. A matrix is a set of numbers arranged in rows and columns. Therefore, every element of a matrix has a row position and a column position. If A is a matrix of five rows and six columns, we say that the matrix A is of the size 5 X 6 and sometimes denote it as Asxc. Clearly, a convenient place to store a matrix is in a two-dimensional array. Two...
how can i solve the system of these magic matrices using
matlab software ?
Exercice 3. A magic matrix is a square matrix with integer entries in which all the rows, columns and the two diagonals have the same sum. For example, A- 3 5 7 4 9 2 Complete the following magic matrices 17? ?? 3 ? 2 ? 2? ? Do the following steps in each case: 1. Write the system of equations and put it under the...
Why is my multiplication wrong when i do a matrix of 3 x 5 and 2
x 2?
code below
import java.util.*;
public class matrix {
public static
void main(String[] args) {
int m, n, i, j;
Random rand = new Random();
Scanner scan = new
Scanner(System.in);
System.out.print("enter how many
rows:");
m = scan.nextInt();
System.out.print("enter how many
columns:");
n=scan.nextInt();
int matrix_1[][] = new
int[m][n]; //Initialize matrixes
int maritx_2[][] = new
int[m][n];
int matrix_add[][] = new
int[m][n];
int matrix_mul[][] = new...
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