please answer it...with detailed steps.
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please answer it...with detailed steps.
Q.2. Do the following matrices form a group (group multiplication =...
2. (5 pts) Do the following matrices form a group? 1 0 Here = ei2r/3. If...
2. (5 pts) Do the following matrices form a group? 1 0 Here = ei2r/3. If not, add the minimum nunber of 2x2 matrices to form a group. Then make a list of all possible subgroups
Let M be the set of 2 x 2 matrices of the form (82) where a,...
Let M be the set of 2 x 2 matrices of the form (82) where a, d ER-{0}. Consider the usual matrix multiplication, i.e: ae + bg af +bh ce + dg cf + dh (2)) = (ce ) (a) Show that (M,-) is an abelian group. (b) Compute the cyclic subgroup generated by M = What is the order of M? (6 -4) € M.
4. Let M be the set of 2 x 2 matrices of the form (62) where...
4. Let M be the set of 2 x 2 matrices of the form (62) where a, d E R - {0}. Consider the usual matrix multiplication ·, i.e: ae + bg af + bh ce + dg cf + dh (a) Show that (M,·) is an abelian group. 1 (b) Compute the cyclic subgroup generated by M = What is the order of M? 66 -4) (1) EM EM.
Q 2 (c) Let S be the set of matrices of the form A = a,...
Q 2 (c) Let S be the set of matrices of the form A = a, a T ag arbitrosy where are real numbers. Show there exists a unique matrix E in s such that АЕА o in S. for all Marks ((1+3+37 +(2+3 + 8) = 20 Marks) MATH 2118 Online Class Exercise I Qla) Sketch the surface s defined by the equation z = =9-6tty! (6) Determine the equation of the tongent plane to the surface s given...
PLEASE, ANSWER ALL SUBPARTS AND ALL THE EXERCISES!! DO NOT DO JUST ONE. ALSO, SHOW COMPLETE...
PLEASE, ANSWER ALL SUBPARTS AND ALL THE EXERCISES!! DO
NOT DO JUST ONE. ALSO, SHOW COMPLETE STEPS. THANK YOU!
1. Find the determinant of each of the matrices below using (1) row operations-transforming each matrix to an upper-triangular form or (2) cofactor expansion. (a) A = ſi 1 1 1 2 2 2 3 (b) A= ſi 2 3 2 2 3 0 3 0 1 (c) A [1 0 0 1 0 1 1 1 0 1 1 0...
2. Consider the following set of complex 2 x 2 matrices where i = -1: H...
2. Consider the following set of complex 2 x 2 matrices where i = -1: H = a + bi -c+dil Ic+dia-bi Put B = {1, i, j, k} where = = {[ctdie met di]|1,3,c,dex} 1-[ ), : = [=]. ; = [i -:], « =(: :] . (a) Show that H is a subspace of the real vector space of 2 x 2 matrices with entries from C, that is, show H is closed under matrix addition and multi-...
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...
You are wanting to communicate secret messages with your friend, and you choose to do this with matrices. The encoding matrix that you choose to use is 2 -2 -1 6 You use the following key to convert...
You are wanting to communicate secret messages with your friend, and you choose to do this with matrices. The encoding matrix that you choose to use is 2 -2 -1 6 You use the following key to convert your message into a string of numbers, where "O" is used as a placeholder where required. A B C D EF G H IJ K L M 10 2 11 24 19 5 25 20 3 7 16 6 14 N O...
Question 4 [12 marks] Some applications of mathematics require the use of very large matrices (several...
Question 4 [12 marks] Some applications of mathematics require the use of very large matrices (several thousand rows for example) and this in turn directs attention to efficient ways to manipulate them. This question focuses on the efficiency of matrix multiplication, counting the number of numerical arithmetic operations (addition, subtraction and multiplication) involved. We start with very simplest case of 2x2 matrices. (a) The standard way of multiplying 2x2 matrices uses 8 multiplications and 4 additions. List the 8 products...
Please give it a try a) For the system of equations given, partially row reduce the...
Please give it a try
a) For the system of equations given, partially row reduce the coefficient matrix in the following careful way: X1 + 2yı - 21 = 5 4x1 +9yı - 324 = 8 (5x1 + 12yı - 321 = 1 Stage 1: just reduce the matrix first to an upper triangular form U and leave pivot entries as they are (don't multiple to change them to l's). Reduce from left to right through the columns and from...
2. (5 pts) Do the following matrices form a group? 1 0 Here = ei2r/3. If not, add the minimum nunber of 2x2 matrices to form a group. Then make a list of all possible subgroups
Let M be the set of 2 x 2 matrices of the form (82) where a, d ER-{0}. Consider the usual matrix multiplication, i.e: ae + bg af +bh ce + dg cf + dh (2)) = (ce ) (a) Show that (M,-) is an abelian group. (b) Compute the cyclic subgroup generated by M = What is the order of M? (6 -4) € M.
4. Let M be the set of 2 x 2 matrices of the form (62) where a, d E R - {0}. Consider the usual matrix multiplication ·, i.e: ae + bg af + bh ce + dg cf + dh (a) Show that (M,·) is an abelian group. 1 (b) Compute the cyclic subgroup generated by M = What is the order of M? 66 -4) (1) EM EM.
Q 2 (c) Let S be the set of matrices of the form A = a, a T ag arbitrosy where are real numbers. Show there exists a unique matrix E in s such that АЕА o in S. for all Marks ((1+3+37 +(2+3 + 8) = 20 Marks) MATH 2118 Online Class Exercise I Qla) Sketch the surface s defined by the equation z = =9-6tty! (6) Determine the equation of the tongent plane to the surface s given...
PLEASE, ANSWER ALL SUBPARTS AND ALL THE EXERCISES!! DO
NOT DO JUST ONE. ALSO, SHOW COMPLETE STEPS. THANK YOU!
1. Find the determinant of each of the matrices below using (1) row operations-transforming each matrix to an upper-triangular form or (2) cofactor expansion. (a) A = ſi 1 1 1 2 2 2 3 (b) A= ſi 2 3 2 2 3 0 3 0 1 (c) A [1 0 0 1 0 1 1 1 0 1 1 0...
2. Consider the following set of complex 2 x 2 matrices where i = -1: H = a + bi -c+dil Ic+dia-bi Put B = {1, i, j, k} where = = {[ctdie met di]|1,3,c,dex} 1-[ ), : = [=]. ; = [i -:], « =(: :] . (a) Show that H is a subspace of the real vector space of 2 x 2 matrices with entries from C, that is, show H is closed under matrix addition and multi-...
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...
You are wanting to communicate secret messages with your friend, and you choose to do this with matrices. The encoding matrix that you choose to use is 2 -2 -1 6 You use the following key to convert your message into a string of numbers, where "O" is used as a placeholder where required. A B C D EF G H IJ K L M 10 2 11 24 19 5 25 20 3 7 16 6 14 N O...
Question 4 [12 marks] Some applications of mathematics require the use of very large matrices (several thousand rows for example) and this in turn directs attention to efficient ways to manipulate them. This question focuses on the efficiency of matrix multiplication, counting the number of numerical arithmetic operations (addition, subtraction and multiplication) involved. We start with very simplest case of 2x2 matrices. (a) The standard way of multiplying 2x2 matrices uses 8 multiplications and 4 additions. List the 8 products...
Please give it a try
a) For the system of equations given, partially row reduce the coefficient matrix in the following careful way: X1 + 2yı - 21 = 5 4x1 +9yı - 324 = 8 (5x1 + 12yı - 321 = 1 Stage 1: just reduce the matrix first to an upper triangular form U and leave pivot entries as they are (don't multiple to change them to l's). Reduce from left to right through the columns and from...
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