Problem 1E: The 22 matrices listed in Eq. 9 are used in several of the exercises that follow. A=2113, B=0-113 9... Problem 2E: The 22 matrices listed in Eq. 9 are used in several of the exercises that follow. A=2113, B=0-113 9... Problem 3E: The 22 matrices listed in Eq. 9 are used in several of the exercises that follow. A=2113, B=0-113 9... Problem 4E Problem 5E: The 22 matrices listed in Eq. 9 are used in several of the exercises that follow. A=2113, B=0-113 9... Problem 6E: The 22 matrices listed in Eq. 9 are used in several of the exercises that follow. A=2113, B=0-113 9... Problem 7E: The vectors listed in Eq.10 are used in several of the exercises that follow. r=10, s=2-3 10 t=14,... Problem 8E: The vectors listed in Eq.10 are used in several of the exercises that follow. r=10, s=2-3 10 t=14,... Problem 9E: The vectors listed in Eq.10 are used in several of the exercises that follow. r=10, s=2-3 10 t=14,... Problem 10E: The vectors listed in Eq.10 are used in several of the exercises that follow. r=10, s=2-3 10 t=14,... Problem 11E: The vectors listed in Eq.10 are used in several of the exercises that follow. r=10, s=2-3 10 t=14,... Problem 12E: The vectors listed in Eq.10 are used in several of the exercises that follow. r=10, s=2-3 10 t=14,... Problem 13E: Exercises 13-20 refer to the vectors in Eq.10. In each exercise, find scalars a1 and a2 that staisfy... Problem 14E: Exercises 13-20 refer to the vectors in Eq.10. In each exercise, find scalars a1 and a2 that staisfy... Problem 15E: Exercises 13-20 refer to the vectors in Eq.10. In each exercise, find scalars a1 and a2 that staisfy... Problem 16E: Exercises 13-20 refer to the vectors in Eq.10. In each exercise, find scalars a1 and a2 that staisfy... Problem 17E: Exercises 13-20 refer to the vectors in Eq.10. In each exercise, find scalars a1 and a2 that staisfy... Problem 18E: Exercises 13-20 refer to the vectors in Eq.10. In each exercise, find scalars a1 and a2 that staisfy... Problem 19E: Exercises 13-20 refer to the vectors in Eq.10. In each exercise, find scalars a1 and a2 that staisfy... Problem 20E Problem 21E: Exercises 21-24 refer to the matrices in Eq.9 and the vectors in Eq.10. Find w2, where w1=Br,... Problem 22E: Exercises 21-24 refer to the matrices in Eq.9 and the vectors in Eq.10. Find w2, where w1=Cs,... Problem 23E: Exercises 21-24 refer to the matrices in Eq.9 and the vectors in Eq.10. Find w3, where w1=Cr,... Problem 24E: Exercises 21-24 refer to the matrices in Eq.9 and the vectors in Eq.10. Find w3, where w1=Ar,... Problem 25E: Exercises 25-30 refer to the matrices in Eq.9. Find each of the following. A+BC Problem 26E: Exercises 25-30 refer to the matrices in Eq.9. Find each of the following. A+2BA Problem 27E: Exercises 25-30 refer to the matrices in Eq.9. Find each of the following. A+CB Problem 28E: Exercises 25-30 refer to the matrices in Eq.9. Find each of the following. B+CZ Problem 29E: Exercises 25-30 refer to the matrices in Eq.9. Find each of the following. ABZ Problem 30E: Exercises 25-30 refer to the matrices in Eq.9. Find each of the following. ZAB Problem 31E: The matrices and vectors listed in Eq.11 are used in several of the exercises that follow. A=2314,... Problem 32E: The matrices and vectors listed in Eq.11 are used in several of the exercises that follow. A=2314,... Problem 33E: The matrices and vectors listed in Eq.11 are used in several of the exercises that follow. A=2314,... Problem 34E: The matrices and vectors listed in Eq.11 are used in several of the exercises that follow. A=2314,... Problem 35E: The matrices and vectors listed in Eq.11 are used in several of the exercises that follow. A=2314,... Problem 36E: The matrices and vectors listed in Eq.11 are used in several of the exercises that follow. A=2314,... Problem 37E: The matrices and vectors listed in Eq.11 are used in several of the exercises that follow. A=2314,... Problem 38E: The matrices and vectors listed in Eq.11 are used in several of the exercises that follow. A=2314,... Problem 39E: The matrices and vectors listed in Eq.11 are used in several of the exercises that follow. A=2314,... Problem 40E: The matrices and vectors listed in Eq.11 are used in several of the exercises that follow. A=2314,... Problem 41E: The matrices and vectors listed in Eq.11 are used in several of the exercises that follow. A=2314,... Problem 42E: In Exercises 42-49, the given matrix is the augmented matrix for a system of linear equations. Give... Problem 43E: In Exercises 42-49, the given matrix is the augmented matrix for a system of linear equations. Give... Problem 44E: In Exercises 42-49, the given matrix is the augmented matrix for a system of linear equations. Give... Problem 45E: In Exercises 42-49, the given matrix is the augmented matrix for a system of linear equations. Give... Problem 46E: In Exercises 42-49, the given matrix is the augmented matrix for a system of linear equations. Give... Problem 47E: In Exercises 42-49, the given matrix is the augmented matrix for a system of linear equations. Give... Problem 48E: In Exercises 42-49, the given matrix is the augmented matrix for a system of linear equations. Give... Problem 49E: In Exercises 42-49, the given matrix is the augmented matrix for a system of linear equations. Give... Problem 50E Problem 51E Problem 52E: Refer to the matrices and vectors in Eq.11. a Identify the column vectors in A=A1,A2 and... Problem 53E: Determine whether the following matrix products are defined. When the product is defined, give the... Problem 54E: 54. What is the size of the product ABCD, where A is 23, B is 34, C is 44, D is 42? Also calculate... Problem 55E: If A is a matrix, what should the symbol A2 be defined? What restrictions on A are required in order... Problem 56E: Set O=[0000], A=[2002], and B=[1bb11], where b0. Show that O, A, and B are solutions to the matrix... Problem 57E: Two newspapers compete for subscriptions in a region with 300,000 households. Assume that no... Problem 58E: 58. Let A=1234. a Find all matrices B=abcd such that AB=BA. b Use the results of parta to exhibit 22... Problem 59E: Let A and B be matrices such that the product AB is defined and is a square matrix. Argue that the... Problem 60E: Let A and B be matrices such that the prioduct AB is defined. Use Theorem 6 to prove each of the... Problem 61E: a Express each of the linear systems i and ii in the form Ax=b. i2x1-x2=3 x1+x2=3 ii x1-3x2+x3=1... Problem 62E: Solve Ax=b, where A and b are given by A=1112, b=23. Problem 63E: Let A and I be the matrices A=1112, I=1001 a Find a 22 matrix B such that AB=I. Hint: Use Theorem 6... Problem 64E: Prove Theorem 5 by showing that the ith component of Ax is equal to the ith component of... Problem 65E: For A and C, which follow, find a matrix B if possible such that AB=C. a A=1314, C=2636 b... Problem 66E: A 33 matrix T=tij is called an upper triangular matrix if T has the form T=t11t12t130t22t2300t33... Problem 67E: An nn matrix T=tij is called upper triangular if tij=0 whenever ij. Suppose that A and B are mn... Problem 68E: In Exercises 68-70, find the vector form for the general solution. x1+3x2-3x3+2x4-3x5=-4... Problem 69E: In Exercises 68-70, find the vector form for the general solution. 14x1-8x2+3x3-49x4+29x5=44... Problem 70E format_list_bulleted