DPT Diagnostics Prerequisite Test 1 Linear Equations And Graphs 2 Functions And Graphs 3 Mathematics Of Finance 4 Systems Of Linear Equations; Matrices 5 Linear Inequalities And Linear Programming 6 Linear Programming: The Simplex Method 7 Logic, Sets, And Counting 8 Probability 9 Markov Chains 10 Data Description And Probability Distributions 11 Games And Decisions A Basic Algebra Review B Special Topics (online At Goo.gl/mjbxrg) expand_more
4.1 Review: Systems Of Linear Equations In Two Variables 4.2 Systems Of Linear Equations And Augmented Matrices 4.3 Gauss-jordan Elimination 4.4 Matrices: Basic Operations 4.5 Inverse Of A Square Matrix 4.6 Matrix Equations And Systems Of Linear Equations 4.7 Leontief Input-output Analysis Chapter Questions expand_more
Problem 1RE: Solve the following system by graphing 2xy=4x2y=4 Problem 2RE: Solve the system in Problem 1 by substitution 2xy=4x2y=4 Problem 3RE: If a matrix is in reduced form, say so. If not, explain why and state the row operation(s) necessary... Problem 4RE: Given matrices A and B. A=5310248130 B=320417 (A) What is the size of A?OfB? (B) Find... Problem 5RE: Find x1andx2 : (A) 1213x1x2=42 (B) 5311x1x2+2514=1822 Problem 6RE: In Problem 6-14, perform the operations that are defined, given the following matrices:... Problem 7RE: In Problem 6-14, perform the operations that are defined, given the following matrices:... Problem 8RE: In Problem 6-14, perform the operations that are defined, given the following matrices:... Problem 9RE: In Problem 6-14, perform the operations that are defined, given the following matrices:... Problem 10RE: In Problem 6-14, perform the operations that are defined, given the following matrices:... Problem 11RE: In Problem 6-14, perform the operations that are defined, given the following matrices:... Problem 12RE: In Problem 6-14, perform the operations that are defined, given the following matrices:... Problem 13RE: In Problem 6-14, perform the operations that are defined, given the following matrices:... Problem 14RE: In Problem 6-14, perform the operations that are defined, given the following matrices:... Problem 15RE: Find the inverse of the matrix A given below by appropriate row operations on AI. Show that A1A=I.... Problem 16RE: Solve the following system using elimination by addition: 4x1+3x2=33x1+2x2=5 Problem 17RE: Solve the system in Problem 16 by performing appropriate row operations on the augmented matrix of... Problem 18RE: Solve the system in Problem 16 by writing the system as a matrix equation and using the inverse of... Problem 19RE: In Problems 19-24, perform the operations that are defined, given the following matrices:... Problem 20RE: In Problems 19-24, perform the operations that are defined, given the following matrices:... Problem 21RE: In Problems 19-24, perform the operations that are defined, given the following matrices:... Problem 22RE: In Problems 1924, perform the operations that are defined, given the following matrices:... Problem 23RE: In Problems 19-24, perform the operations that are defined, given the following matrices:... Problem 24RE: In Problems 19-24, perform the operations that are defined, given the following matrices:... Problem 25RE: Find the inverse of the matrix A given below by appropriate row operations on AI. Show that A1A=I.... Problem 26RE: Solve by Gauss-Jordan elimination: (A) x1+2x2+3x3=12x1+3x2+4x3=3x1+2x2+x3=3 (B)... Problem 27RE: Solve the system in Problem 26A by writing the system as a matrix equation and using the inverse of... Problem 28RE: Discuss the relationship between the numbers of solutions of the following system and the constant... Problem 29RE: An economy is based on two sectors, agriculture and energy. Given the technology matrix M and the... Problem 30RE: Use the matrix M in Problem 29 to fill in the elements in the following technology matrix. EAT=EA... Problem 31RE: An economy is based on two sectors, coal and steel. Given the technology matrix M and the final... Problem 32RE: Use graphical approximation techniques on a graphing calculator to find the solution of the... Problem 33RE: Find the inverse of the matrix A given below. Show that A1A=I. A=456454111 Problem 34RE: Solve the system 0.04x1+0.05x2+0.06x3=3600.04x1+0.05x20.04x3=120x1+x2+x3=7,000 by writing it as a... Problem 35RE: Solve Problem 34 by Gauss-Jordan elimination. Problem 36RE: Given the technology matrix M and the final demand matrix D (in billions of dollars), find IM1 and... Problem 37RE: Discuss the number of solutions for a system of n equations in n variables if the coefficient matrix... Problem 38RE: Discuss the number of solutions for the system corresponding to the reduced form shown below if (A)... Problem 39RE: One solution to the input-output equation X=MX+D is given by X=IM1D Discuss the validity of each... Problem 40RE: Break-even analysis. A cookware manufacturer is preparing to market a new pasta machine. The... Problem 41RE: Resource allocation. An international mining company has two mines in Voisey’ s Bay and Hawk Ridge.... Problem 42RE: Resource allocation. (A) Set up Problem 41 as a matrix equation and solve using the inverse of the... Problem 43RE: Business leases. A grain company wants to lease a fleet of 20 covered hopper railcars with a... Problem 44RE: Material costs. A manufacturer wishes to make two different bronze alloys in a metal foundry. The... Problem 45RE: Labor costs. A company with manufacturing plants in California and Texas has labor-hour and wage... Problem 46RE: Investment analysis. A person has $5,000 to invest, part at 5 and the rest at 10. How much should be... Problem 47RE: Investment analysis. Solve Problem 46 by using a matrix equation and the inverse of the coefficient... Problem 48RE: Investment analysis. In Problem 46, is it possible to have an annual yield of $200?Of$600? Describe... Problem 49RE: Ticket prices. An outdoor amphitheater has 25,000 seats. Ticket prices are 8,12,and20, and the... Problem 50RE: Ticket prices. Discuss the effect on the solutions to Problem 49 if it is no longer required to have... Problem 51RE: Input-output analysis. An economy is based on two industrial sectors, agriculture and fabrication.... Problem 52RE: Cryptography. The following message was encoded with the matrix B shown below. Decode the message.... Problem 53RE: Traffic flow. The rush-hour traffic flow (in vehicles per hour) for a network of four one-way... format_list_bulleted