Problem 1ED: Explain why the definition of reduced form ensures that each leftmost variable in a reduced system... Problem 2ED: Refer to Example 6. The rental company charges $19.95 per day for a 10 -foot truck, $29.95 per day... Problem 1MP: The matrices below are not in reduced form. Indicate which condition in the definition is violated... Problem 2MP: Solve by Gauss-Jordan elimination: 3x1+x22x3=2x12x2+x3=32x1x23x3=3 Problem 3MP: Solve by Gauss-Jordan elimination: 2x14x2x3=84x18x2+3x3=42x1+4x2+x3=11 Problem 4MP: Solve by Gauss-Jordan elimination: 2x12x24x3=23x13x26x3=32x1+3x2+x3=7 Problem 5MP: Solve by Gauss-Jordan elimination: x1x2+2x32x5=32x1+2x24x3x4+x5=53x13x2+7x3+x44x5=6 Problem 6MP: A company that rents small moving trucks wants to purchase 16 trucks with a combined capacity of... Problem 1E: In Problems 1-4, write the augmented matrix of the system of linear equations... Problem 2E: In Problems 1-4, write the augmented matrix of the system of linear equations... Problem 3E: In Problems 1-4, write the augmented matrix of the system of linear equations.... Problem 4E: In Problems 14, write the augmented matrix of the system of linear equations.... Problem 5E: In Problems 5-8, write the system of linear equations that is represented by the augmented matrix.... Problem 6E: In Problems 5-8, write the system of linear equations that is represented by the augmented matrix.... Problem 7E: In Problems 5-8, write the system of linear equations that is represented by the augmented matrix.... Problem 8E: In Problems 5-8, write the system of linear equations that is represented by the augmented matrix.... Problem 9E: In Problems 9-18, if a matrix is in reduced form, say so. If not, explain why and indicate a row... Problem 10E: In Problems 9-18, if a matrix is in reduced form, say so. If not, explain why and indicate a row... Problem 11E: In Problems 9-18, if a matrix is in reduced form, say so. If not, explain why and indicate a row... Problem 12E: In Problems 9-18, if a matrix is in reduced form, say so. If not, explain why and indicate a row... Problem 13E: In Problems 9-18, if a matrix is in reduced form, say so. If not, explain why and indicate a row... Problem 14E: In Problems 9-18, if a matrix is in reduced form, say so. If not, explain why and indicate a row... Problem 15E: In Problems 9-18, if a matrix is in reduced form, say so. If not, explain why and indicate a row... Problem 16E: In Problems 9-18, if a matrix is in reduced form, say so. If not, explain why and indicate a row... Problem 17E: In Problems 9-18, if a matrix is in reduced form, say so. If not, explain why and indicate a row... Problem 18E: In Problems 9-18, if a matrix is in reduced form, say so. If not, explain why and indicate a row... Problem 19E: In Problems 19-28, write the solution of the linear system corresponding to each reduced augmented... Problem 20E: In Problems 19-28, write the solution of the linear system corresponding to each reduced augmented... Problem 21E: In Problems 19-28, write the solution of the linear system corresponding to each reduced augmented... Problem 22E: In Problems 19-28, write the solution of the linear system corresponding to each reduced augmented... Problem 23E: In Problems 19-28, write the solution of the linear system corresponding to each reduced augmented... Problem 24E: In Problems 19-28, write the solution of the linear system corresponding to each reduced augmented... Problem 25E: In Problems 19-28, write the solution of the linear system corresponding to each reduced augmented... Problem 26E: In Problems 19-28, write the solution of the linear system corresponding to each reduced augmented... Problem 27E: In Problems 19-28, write the solution of the linear system corresponding to each reduced augmented... Problem 28E: In Problems 19-28, write the solution of the linear system corresponding to each reduced augmented... Problem 29E: In which of Problems 19,21,23,25and27 is the number of leftmost ones equal to the number of... Problem 30E: In which of Problems 20,22,24,26and28 is the number of leftmost ones equal to the number of... Problem 31E: In which of Problems 19,21,23,25and27 is the number of leftmost ones less than the number of... Problem 32E: In which of Problems 20,22,24,26and28 is the number of leftmost ones less than the number of... Problem 33E: In Problems 33-38, discuss the validity of each statement about linear systems. If the statement is... Problem 34E: In Problems 33-38, discuss the validity of each statement about linear systems. If the statement is... Problem 35E: In Problems 33-38, discuss the validity of each statement about linear systems. If the statement is... Problem 36E: In Problems 33-38, discuss the validity of each statement about linear systems. If the statement is... Problem 37E: In Problems 33-38, discuss the validity of each statement about linear systems. If the statement is... Problem 38E: In Problems 33-38, discuss the validity of each statement about linear systems. If the statement is... Problem 39E: Use row operations to change each matrix in Problems 39-46 to reduced form. 120113 Problem 40E: Use row operations to change each matrix in Problems 39-46 to reduced form. 130214 Problem 41E: Use row operations to change each matrix in Problems 39-46 to reduced form. 1112341625 Problem 42E: Use row operations to change each matrix in Problems 39-46 to reduced form. 111357830 Problem 43E: Use row operations to change each matrix in Problems 39-46 to reduced form 103101200036. Problem 44E: Use row operations to change each matrix in Problems 39-46 to reduced form. 104013002012 Problem 45E: Use row operations to change each matrix in Problems 39-46 to reduced form. 122036012131 Problem 46E: Use row operations to change each matrix in Problems 39-46 to reduced form. 126028014421 Problem 47E: Solve Problems 47-62 using Gauss-Jordan elimination. 2x1+4x210x3=23x1+9x221x3=0x1+5x212x3=1 Problem 48E: Solve Problems 47-62 using Gauss-Jordan elimination. 3x1+5x2x3=7x1+x2+x3=12x1+11x3=7 Problem 49E: Solve Problems 47-62 using Gauss-Jordan elimination. 3x1+8x2x3=182x1+x25x3=82x1+4x22x3=4 Problem 50E: Solve Problems 47-62 using Gauss-Jordan elimination. 2x1+6x2+15x3=124x1+7x213x3=103x1+6x212x3=9 Problem 51E: Solve Problems 47-62 using Gauss-Jordan elimination. 2x1x23x3=8x12x2=7 Problem 52E: Solve Problems 47-62 using Gauss-Jordan elimination. 2x1+4x26x3=103x1+3x23x3=6 Problem 53E: Solve Problems 47-62 using Gauss-Jordan elimination. 2x1x2=03x1+2x=27x1x2=1 Problem 54E: Solve Problems 47-62 using Gauss-Jordan elimination. 2x1x2+=03x1+2x2=7x1x2=2 Problem 55E: Solve Problems 47-62 using Gauss-Jordan elimination. 3x14x2x3=12x13x2+x3=1x12x2+3x3=2 Problem 56E: Solve Problems 47-62 using Gauss-Jordan elimination. 3x1+7x2x3=11x1+2x2x3=32x1+4x22x3=10 Problem 57E: Solve Problems 47-62 using Gauss-Jordan elimination. 3x12x2+x3=72x1+x24x3=0x1+x23x3=1 Problem 58E: Solve Problems 4762 using Gauss-Jordan elimination. 2x1+3x2+5x3=21x1x25x3=22x1+x2x3=11 Problem 59E: Solve Problems 47-62 using Gauss-Jordan elimination. 2x1+4x22x3=23x1+6x2+3x3=3 Problem 60E: Solve Problems 47-62 using Gauss-Jordan elimination. 3x19x2+12x3=62x1+6x28x3=4 Problem 61E: Solve Problems 47-62 using Gauss-Jordan elimination. 4x1x2+2x3=34x1+x23x3=108x1+2x2+9x3=1 Problem 62E: Solve Problems 47-62 using Gauss-Jordan elimination. 4x12x2+2x3=56x1+3x23x3=210x15x2+9x3=4 Problem 63E: Consider a consistent system of three linear equations in three variables. Discuss the nature of the... Problem 64E: Consider a system of three linear equations in three variables. Give examples of two reduced forms... Problem 65E: Solve Problems 65-70 using Gauss-Jordan elimination x1+2x24x3x4=72x1+5x29x34x4=16x1+5x27x37x4=13 Problem 66E: Solve Problems 65-70 using Gauss-Jordan elimination. 2x1+4x+25x3+4x4=8x1+2x+22x3+x4=3 Problem 67E: Solve Problems 65-70 using Gauss-Jordan elimination.... Problem 68E: Solve Problems 65-70 using Gauss-Jordan elimination.... Problem 69E: Solve Problems 65-70 using Gauss-Jordan elimination.... Problem 70E: Solve Problems 65-70 using Gauss-Jordan elimination.... Problem 71E: Find a,bandc so that the graph of the quadratic equation y=ax2+bx+c passes through the points... Problem 72E: Find a,b,andc so that the graph of the quadratic equation y=ax2+bx+c passes through the points... Problem 73E: Boat production. A small manufacturing plant makes three types of inflatable boats: one-person,... Problem 74E: Production scheduling. Repeat Problem 73 assuming that the cutting, assembly, and packaging... Problem 75E: Tank car leases. A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with a... Problem 76E: Airplane leases. A corporation wants to lease a fleet of 12 airplanes with a combined carrying... Problem 77E: Tank car leases. Refer to Problem 75. The cost of leasing an 8,000 -gallon tank car is $450 per... Problem 78E: Airplane leases. Refer to Problem 76. The cost of leasing a 10 -passenger airplane is $8,000 per... Problem 79E: Income tax. A corporation has a taxable income of $7,650,000. At this income level, the federal... Problem 80E: Income tax. Repeat Problem 79 if local taxes are not allowed as a deduction for federal and state... Problem 81E: Taxable income. As a result of several mergers and acquisitions, stock in four companies has been... Problem 82E: Taxable income. Repeat Problem 81 if tax law is changed so that the taxable income of a company is... Problem 83E: Nutrition. A dietitian in a hospital is to arrange a special diet composed of three basic foods. The... Problem 84E: Nutrition. Repeat Problem 83 if the diet is to include exactly 400 units of calcium, 160 units of... Problem 85E: Plant food. A farmer can buy four types of plant food. Each barrel of mix A contains 30 pounds of... Problem 86E: Animal feed. In a laboratory experiment, rats are to be fed 5 packets of food containing a total of... Problem 87E: Plant food. Refer to Problem 85. The costs of the four mixes are Mix A,$46 ; Mix B,$72 ; Mix C,$57 ;... Problem 88E: Animal feed. Refer to Problem 86.The costs of the four brands are Brand A,$1.50 ; Brand B,$3.00 ;... Problem 89E: Population growth. The U.S. population was approximately 75 million in 1900, 150 million in 1950 and... Problem 90E: Population growth. The population of California was approximately 30 million in 1990, 34 million in... Problem 91E: Female life expectancy. The life expectancy for females born during 1980-1985 was approximately 77.6... Problem 92E: Male life expectancy. The life expectancy for males born during 1980-1985 was approximately 70.7... Problem 93E: Female life expectancy. Refer to Problem 91. Subsequent data indicated that life expectancy grew to... Problem 94E: Male life expectancy. Refer to Problem 92. Subsequent data indicated that life expectancy grew to... Problem 95E: Sociology. Two sociologists have grant money to study school busing in a particular city. They wish... Problem 96E: Sociology. Repeat Problem 95 if 650 telephone contacts and 350 house contacts are needed. Problem 97E: Traffic Wow. The rush-hour traffic flow for a network of four one-way streets m a city is shown in... Problem 98E: Traffic flow. Refer to Problem 97. Closing Washington Avenue east of 6th Street for construction... format_list_bulleted