Problem 1E: Which of the equations in Exercises 1-6 are linear? x1+2x3=3 Problem 2E: Which of the equations in Exercises 1-6 are linear? x1x2+x2=1 Problem 3E: Which of the equations in Exercises 1-6 are linear? x1-x2=sin2x1+cos2x1 Problem 4E: Which of the equations in Exercises 1-6 are linear? x1-x2=sin2x1+cos2x2 Problem 5E: Which of the equations in Exercises 1-6 are linear? x1-x2=0 Problem 6E: Which of the equations in Exercises 1-6 are linear? x1+7x2=3 Problem 7E: In Exercises 7-10, coefficients are given for a system of the form 2. Display the system and verify... Problem 8E: In Exercises 7-10, coefficients are given for a system of the form 2. Display the system and verify... Problem 9E: In Exercises 7-10, coefficients are given for a system of the form 2. Display the system and verify... Problem 10E: In Exercises 7-10, coefficients are given for a system of the form 2. Display the system and verify... Problem 11E: In Exercises 11-14, sketch a graph for each equation to determine whether the system has a unique... Problem 12E: In Exercises 11-14, sketch a graph for each equation to determine whether the system has a unique... Problem 13E: In Exercises 11-14, sketch a graph for each equation to determine whether the system has a unique... Problem 14E: In Exercises 11-14, sketch a graph for each equation to determine whether the system has a unique... Problem 15E: The 23 system of linear equations a1x+b1y+c1z=d1 a2x+b2y+c2z=d2 is represented geometrically by two... Problem 16E: In Exercises 16-18, determine whether the given (23) system of linear equations represents... Problem 17E: In Exercises 16-18, determine whether the given (23) system of linear equations represents... Problem 18E: In Exercises 16-18, determine whether the given (23) system of linear equations represents... Problem 19E: Display the 23 matrix A=aij, where a11=2, a12=1, a13=6, a21=4, a22=3, a23=8. Problem 20E: Display the 24 matrix C=cij, where c23=4, c12=2, c21=2, c14=1, c22=2, c24=3,c11=1, and c13=7. Problem 21E: Display The 33 matrix Q=qij, where q23=1, q32=2, q11=1, q13=-3, q22=1, q33=1,q21=2, q12=4, and... Problem 22E: Suppose the matrix C in Exercise 20 is the augmented matrix for a system of linear equations.... Problem 23E: Repeat Exercise 22 for the matrices in Exercises 19 and 21. 22. Suppose the matrix C in Exercise 20... Problem 24E: In Exercises 24-29, display the coefficient matrix A and the augmented matrix B for the given... Problem 25E: In Exercises 24-29, display the coefficient matrix A and the augmented matrix B for the given... Problem 26E: In Exercises 24-29, display the coefficient matrix A and the augmented matrix B for the given... Problem 27E: In Exercises 24-29, display the coefficient matrix A and the augmented matrix B for the given... Problem 28E: In Exercises 24-29, display the coefficient matrix A and the augmented matrix B for the given... Problem 29E: In Exercises 24-29, display the coefficient matrix A and the augmented matrix B for the given... Problem 30E: In Exercises 30-36, display the augmented matrix for the given system. Use elementary operations on... Problem 31E: In Exercises 30-36, display the augmented matrix for the given system. Use elementary operations on... Problem 32E: In Exercises 30-36, display the augmented matrix for the given system. Use elementary operations on... Problem 33E: In Exercises 30-36, display the augmented matrix for the given system. Use elementary operations on... Problem 34E: In Exercises 30-36, display the augmented matrix for the given system. Use elementary operations on... Problem 35E: In Exercises 30-36, display the augmented matrix for the given system. Use elementary operations on... Problem 36E: In Exercises 30-36, display the augmented matrix for the given system. Use elementary operations on... Problem 37E: Consider the equation 2x13x2+x3x4=3. In the six different possible combinations, set any two of the... Problem 38E: Consider the 22 system a11x1+a12x2=b1 a21x1+a22x2=b2. Show that if a11a22-a12a210, then this system... Problem 39E: In the following 22 linear systems A and B, c is a nonzero scalar. Prove that any solution, x1=s1,... Problem 40E: In the 22 linear systems that follow, the system B is obtained from A by performing the elementary... Problem 41E: Prove that any of the elementary operations in Theorem 1 applied to system (2) produces an... Problem 42E: Solve the system of two nonlinear equations in two unknowns x12-2x1+x22=3 x12-x22=1. format_list_bulleted