Problem 1E: Equality of Matrices In Exercises 1-4, find x and y. x-27y=4-2722 Problem 2E: Equality of Matrices In Exercises 1-4, find x and y. -5xy8=-513128 Problem 3E: Equality of Matrices In Exercises 1-4, find x and y. 164531315024460=1642x+1-31315023y-543x0 Problem 4E: Equality of Matrices In Exercises 1-4, find x and y. x+28-312y2x7-2y+2=2x+68-3118-87-211 Problem 5E: Operations with Matrices In Exercises 5-10, find, if possible, a A+B, b A-B, c 2A, d 2A-B, and e... Problem 6E: Operations with Matrices In Exercises 5-10, find, if possible, a A+B, b A-B, c 2A, d 2A-B, and e... Problem 7E: Operations with Matrices In Exercises 5-10, find, if possible, a A+B, b A-B, c 2A, d 2A-B, and e... Problem 8E: Operations with Matrices In Exercises 5-10, find, if possible, a A+B, b A-B, c 2A, d 2A-B, and e... Problem 9E: Operations with Matrices In Exercises 5-10, find, if possible, a A+B, b A-B, c 2A, d 2A-B, and e... Problem 10E: Operations with Matrices In Exercises 5-10, find, if possible, a A+B, b A-B, c 2A, d 2A-B, and e... Problem 11E: Find a c21 and b c13, where C=2A-3B, A=544-312, and B=12-70-51 Problem 12E: Find a c23 and b c32, where C=5A+2B, A=411-9032-311, and B=105-4611-649 Problem 13E: Solve for x,y and z in the matrix equation 4xyz-1=2yz-x1+24x5-x. Problem 14E: Solve for x,y,z and w in the matrix equation wxyx=-432-1+2ywzx. Problem 15E Problem 16E Problem 17E: Finding Products of Two Matrices In Exercises 15-28, find, if possible, a AB and b BA.... Problem 18E: Finding Products of Two Matrices In Exercises 15-28, find, if possible, a AB and b BA.... Problem 19E: Finding Products of Two Matrices In Exercises 15-28, find, if possible, a AB and b BA.... Problem 20E: Finding Products of Two Matrices In Exercises 15-28, find, if possible, a AB and b BA.... Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E Problem 28E Problem 29E: Matrix Size In Exercises 29-36, let A,B,C,D,andE be matrices with the size shown below. A:34 B:34... Problem 30E: Matrix Size In Exercises 29-36, let A,B,C,D,andE be matrices with the size shown below. A:34 B:34... Problem 31E Problem 32E Problem 33E: Matrix Size In Exercises 29-36, let A,B,C,D,andE be matrices with the size shown below. A:34 B:34... Problem 34E: Matrix Size In Exercises 29-36, let A,B,C,D,andE be matrices with the size shown below. A:34 B:34... Problem 35E: Matrix Size In Exercises 29-36, let A,B,C,D,andE be matrices with the size shown below. A:34 B:34... Problem 36E: Matrix Size In Exercises 29-36, let A,B,C,D,andE be matrices with the size shown below. A:34 B:34... Problem 37E: Solving a Matrix Equation In Exercises 37 and 38, solve the matrix equation Ax=0.... Problem 38E: Solving a Matrix Equation In Exercises 37 and 38, solve the matrix equation Ax=0.... Problem 39E Problem 40E: Solving a System of Linear Equations In Exercises 39-48, write the system of linear equations in the... Problem 41E: Solving a System of Linear Equations In Exercises 39-48, write the system of linear equations in the... Problem 42E Problem 43E: Solving a System of Linear Equations In Exercises 39-48, write the system of linear equations in the... Problem 44E: Solving a System of Linear Equations In Exercises 39-48, write the system of linear equations in the... Problem 45E Problem 46E: Solving a System of Linear Equations In Exercises 39-48, write the system of linear equations in the... Problem 47E Problem 48E Problem 49E: Writing a Linear Combination In Exercises 49-52, write the column matrix b as a linear combination... Problem 50E: Writing a Linear Combination In Exercises 49-52, write the column matrix b as a linear combination... Problem 51E: Writing a Linear Combination In Exercises 49-52, write the column matrix b as a linear combination... Problem 52E Problem 53E: Solving a Matrix Equation In Exercises 53 and 54, solve for A. 1235A=1001 Problem 54E: Solving a Matrix Equation In Exercises 53 and 54, solve for A. 2-13-2A=1001 Problem 55E: Solving a Matrix Equation In Exercises 55 and 56, solve the matrix equation for a,b,candd.... Problem 56E: Solving a Matrix Equation In Exercises 55 and 56, solve the matrix equation for a,b,candd. 56.... Problem 57E Problem 58E Problem 59E: Finding Product of Diagonal Matrices In Exercises 59 and 60, find the product AB and BA for the... Problem 60E: Finding Product of Diagonal Matrices In Exercises 59 and 60, find the products AB and BA for the... Problem 61E: Guide Proof Prove that if A and B are diagonal matrices of the same size, then AB=BA. Getting... Problem 62E Problem 63E: Trace of a matrix In Exercises 63-66, find the trace of the matrix. The trace of an nn matrix A is... Problem 64E: Trace of a matrix In Exercises 63-66, find the trace of the matrix. The trace of an nn matrix A is... Problem 65E Problem 66E Problem 67E: Proof Prove that each statement is true when A and B are square matrices of order n and c is a... Problem 68E: Proof Prove that if A and B are square matrices of order n, then TrAB=TrBA. Problem 69E: Find conditions on w,x,y,andz such that AB=BA for the matrices below. A=wxyz and B=11-11 Problem 70E Problem 71E Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001. Problem 73E Problem 74E Problem 75E Problem 76E Problem 77E Problem 78E Problem 79E: Agriculture A fruit grower raises two crops, apples and peaches. The grower ships each of these... Problem 80E Problem 81E Problem 82E Problem 83E Problem 84E Problem 85E: True or False? In Exercises 85 and 86, determine whether each statement is true or false. If a... Problem 86E: True or False In Exercises 85 and 86, determine whether each statement is true or false. If a... Problem 87E format_list_bulleted