In Exercises 59–82, solve each system by the method of your choice. Identify inconsistent system and systems with dependent equations, using set notation to express their solution sets.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
- What is a system of linear equations in the variables x, y, and z?arrow_forward10) Describe a consistent, independent system of linear equations and give examples to justify your response. 1000 character(s) leftarrow_forwardGive an example of a system of n linear equations in n unknowns withinfinitely many solutions.arrow_forward
- Solve the system. 21 X2 I3 IA || -2060x1 16480x2 -362x1 -826x1 2896x2 6608x2 +8 15812x37500x4 2750x3 +1306x4 6638x3 +3114x4 B = = = 128848 22456 53496 0arrow_forwardThree components are connected to form a system as shown in the accompanying diagram. Because the components in the 2–3 subsystem are connected in parallel, that subsystem will function if at least one of the two individual components functions. For the entire system to function, component 1 must function and so must the 2–3 subsystem |-------2-------| ---1------>| |----------> |-------3-------| The experiment consists of determining the condition of each component [S(success) for a functioning component and F(failure) for a nonfunctioning component]. a. Which outcomes are contained in the event A that exactly two out of the three components function? b. Which outcomes are contained in the event B that at least two of the components function? c. Which outcomes are contained in the event C that the system functions? d. List outcomes in C', A U C, B U C.arrow_forward[A] Suppose that a system of 5 equations with seven unknowns is in echelon form. How many leading variables are there? The number of leading variables = Explain.arrow_forward
- Consider (1,0,3) = U and (0,1,3) = V to be solutions of a 3x4 system. Determine if U + V is a solution and explain why. If not explain why and is there a solution?arrow_forwardto the equivalent linear system. Use x1 and x2 to enter the variables ₁ and ₂. || 535 -1 4 5 -240arrow_forwardWhat is co-ordinated system?arrow_forward
- Make a question with a complete solution Solving linear systems having infinitely many solutionsarrow_forwardSolve the system 21+52₂-23 đi thông 00000 +5x5 +4x6 = 0 -24 +225 -3x6 = 9 -725 +6x6 = 000000 +t 000000 +u ¯¯¯¯¯¯arrow_forward3. Solve the linear system of equations x1 – *2 + 2x3 - -2, -201 +x2 – 03 – 2, 4x1 – x2 + 203 – 1, using 3 digit rounding arithmetic and Gaussian elimination with partial pivoting.arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning