Homework Answers
Suppose A is a 5x5 matrix and Axı = -X1, Ax2 = 2x2, v= 3x1 -...
Suppose A is a 5x5 matrix and Axı = -X1, Ax2 = 2x2, v= 3x1 - X2. Find real numbers a and b such that A?v=ax1 + bx2: Note: This question is adapted from Review Exercise 7 in the notes from Lecture 15. Oa= -35, b= -45 Oa= -3, b= -4 O a=3, b= -4 O a=-1, b = 25 O a=-1, b= 2
Question 3: Identify which of LP problems (1)--(4) has (x1,x2) = (20,60) as its optimal solution....
Question 3: Identify which of LP problems (1)--(4) has (x1,x2) = (20,60) as its optimal solution. (1) min z = 50xı + 100X2 s.t. 7x1 + 2x2 > 28 2x1 + 12x2 > 24 X1, X2 > 0 (2) max z = 3x1 + 2x2 s.t. 2x1 + x2 < 100 X1 + x2 < 80 X1 <40 X1, X2 > 0 (3) min z = 3x1 + 5x2 s.t. 3x1 + 2x2 > 36 3x1 + 5x2 > 45...
same question, just 3 different lettered sections Write the given system of equations as a matrix...
same question, just 3 different lettered sections
Write the given system of equations as a matrix equation and solve by using inverses. X1 + X2 = k1 3x + 2x2 = kz a. What are X1 and X2 when kı = - 3 and k2= - 4? X1 X2= b. What are xı and x2 when ki = 5 and k2 = - 3? X1 = X2 = c. What are X1 and x2 when ki = - 1 and...
1. (45 pts) Given the following system of linear equations: Xi – X2 + x3 =...
1. (45 pts) Given the following system of linear equations: Xi – X2 + x3 = X 1 + x2 + 6x3 = —2x1 + 8x2 + 4x3 = 3 (a) (3 pts) Write it in the form of Ax = b (b) (12 pts) Find all solutions of the system using Gauss elimination method. Write your answer as a column vector. (c) (4 pts) Use matrix multiplication to check your answer if possible. (d) (10 pts) Use Cramer's rule...
(1 Consider the symmetric matrix A = 2 10 2 0 2 2 1. Answer the...
(1 Consider the symmetric matrix A = 2 10 2 0 2 2 1. Answer the following questions. 2 3 (1) Find the eigenvalues , , and iz (2 <, <1z) of the matrix A and their corresponding eigenvectors. (2) Find the orthogonal matrix B and its inverse matrix B' that satisfy the following equation: (4 0 0 B-'AB = 0 0 lo o 2) (3) Suppose that the real vectors y and 9 satisfy the following relationship: Show that...
This Question: 6 pts 24 of 26 (1 complete) 1 1 Given that a = -...
This Question: 6 pts 24 of 26 (1 complete) 1 1 Given that a = - х and b= simplify the quotient of 4 +a - 33b and 7 + 22a + 3b x2 Quotient = (Simplify your answer.) The domain of the quotient (or rational expression) is all real numbers except X (Type your answers (as intergers or fractions) separated by commas.)
(1) A is a 3 x 7 matrix, in reduced echelon form, such that the general solution of the equation ...
(1) A is a 3 x 7 matrix, in reduced echelon form, such that the general solution of the equation where t1, t2, t3, t4 are any real numbers. (a) Which variables are free variables? How can you tell? (b) Write down A. Is it possible to come up with multiple answers for this? (c) Are the vectors that are multiplied by t,tg,ts, t4 linearly independent? You can answer this question without doing any calculations.
(1) A is a 3...
Here is the matrix mentioned in the problem: 7) Change (23 pts) Diagonalization of a matrix....
Here is the matrix mentioned in the problem:
7) Change (23 pts) Diagonalization of a matrix. For the matrix from the last problem. a) (6 pts) Find the eigenvalues of A b) (6 pts) Find the eigenvectors of A, Choose x1=1 for the first element of both eigenvectors. c) (4 pts) Is this system stable? What type of damping does it have? d) (2 pts) Find the diagonal matrix D corresponding to A. e) (1 pts) Find D3, use actual...
Question 7 of 15 (1 point) View problem in a poR-up 2.3 Section Exercise 97 (guided...
Question 7 of 15 (1 point) View problem in a poR-up 2.3 Section Exercise 97 (guided work) Write the domain in interval notation. x -7 x-36 a.f(x)- x-36 +36 Part 1 out of 3 t -7 x -36 The domain is all real numbers except for those that make the denominator zero. 0. Therefore, x ?. The variable x has the restriction that x-36 Domain: CHEC NEXT Print whole assignment I Print this page only Plugin not installed or missing?...
Question 1 2 pts Which of the following will have a size factor, Cr, from table 5.2 0 5x5 stud gr...
Question 1 2 pts Which of the following will have a size factor, Cr, from table 5.2 0 5x5 stud grade 0 624, No. 1 grade O 4x8, No.1 and better grade O 8x8, Dense No. 1 grade 2 pts Question 2 Question 4 2 pts Which of the following is an incorrect definition for the type of Structural lumber listed? Hint: see section 5.1 OPost and Timbers: Rectangular sections 5in or more in thickness with width 2in or more...
Suppose A is a 5x5 matrix and Axı = -X1, Ax2 = 2x2, v= 3x1 - X2. Find real numbers a and b such that A?v=ax1 + bx2: Note: This question is adapted from Review Exercise 7 in the notes from Lecture 15. Oa= -35, b= -45 Oa= -3, b= -4 O a=3, b= -4 O a=-1, b = 25 O a=-1, b= 2
Question 3: Identify which of LP problems (1)--(4) has (x1,x2) = (20,60) as its optimal solution. (1) min z = 50xı + 100X2 s.t. 7x1 + 2x2 > 28 2x1 + 12x2 > 24 X1, X2 > 0 (2) max z = 3x1 + 2x2 s.t. 2x1 + x2 < 100 X1 + x2 < 80 X1 <40 X1, X2 > 0 (3) min z = 3x1 + 5x2 s.t. 3x1 + 2x2 > 36 3x1 + 5x2 > 45...
same question, just 3 different lettered sections
Write the given system of equations as a matrix equation and solve by using inverses. X1 + X2 = k1 3x + 2x2 = kz a. What are X1 and X2 when kı = - 3 and k2= - 4? X1 X2= b. What are xı and x2 when ki = 5 and k2 = - 3? X1 = X2 = c. What are X1 and x2 when ki = - 1 and...
1. (45 pts) Given the following system of linear equations: Xi – X2 + x3 = X 1 + x2 + 6x3 = —2x1 + 8x2 + 4x3 = 3 (a) (3 pts) Write it in the form of Ax = b (b) (12 pts) Find all solutions of the system using Gauss elimination method. Write your answer as a column vector. (c) (4 pts) Use matrix multiplication to check your answer if possible. (d) (10 pts) Use Cramer's rule...
(1 Consider the symmetric matrix A = 2 10 2 0 2 2 1. Answer the following questions. 2 3 (1) Find the eigenvalues , , and iz (2 <, <1z) of the matrix A and their corresponding eigenvectors. (2) Find the orthogonal matrix B and its inverse matrix B' that satisfy the following equation: (4 0 0 B-'AB = 0 0 lo o 2) (3) Suppose that the real vectors y and 9 satisfy the following relationship: Show that...
This Question: 6 pts 24 of 26 (1 complete) 1 1 Given that a = - х and b= simplify the quotient of 4 +a - 33b and 7 + 22a + 3b x2 Quotient = (Simplify your answer.) The domain of the quotient (or rational expression) is all real numbers except X (Type your answers (as intergers or fractions) separated by commas.)
(1) A is a 3 x 7 matrix, in reduced echelon form, such that the general solution of the equation where t1, t2, t3, t4 are any real numbers. (a) Which variables are free variables? How can you tell? (b) Write down A. Is it possible to come up with multiple answers for this? (c) Are the vectors that are multiplied by t,tg,ts, t4 linearly independent? You can answer this question without doing any calculations.
(1) A is a 3...
Here is the matrix mentioned in the problem:
7) Change (23 pts) Diagonalization of a matrix. For the matrix from the last problem. a) (6 pts) Find the eigenvalues of A b) (6 pts) Find the eigenvectors of A, Choose x1=1 for the first element of both eigenvectors. c) (4 pts) Is this system stable? What type of damping does it have? d) (2 pts) Find the diagonal matrix D corresponding to A. e) (1 pts) Find D3, use actual...
Question 7 of 15 (1 point) View problem in a poR-up 2.3 Section Exercise 97 (guided work) Write the domain in interval notation. x -7 x-36 a.f(x)- x-36 +36 Part 1 out of 3 t -7 x -36 The domain is all real numbers except for those that make the denominator zero. 0. Therefore, x ?. The variable x has the restriction that x-36 Domain: CHEC NEXT Print whole assignment I Print this page only Plugin not installed or missing?...
Question 1 2 pts Which of the following will have a size factor, Cr, from table 5.2 0 5x5 stud grade 0 624, No. 1 grade O 4x8, No.1 and better grade O 8x8, Dense No. 1 grade 2 pts Question 2 Question 4 2 pts Which of the following is an incorrect definition for the type of Structural lumber listed? Hint: see section 5.1 OPost and Timbers: Rectangular sections 5in or more in thickness with width 2in or more...
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