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Math 1314 Exam 4 Review A. Baumgardner 1. True or False: a. A system of equations represented by a represent of ii lines with the same slope always has no solution. b. A system of equations represented by a interpret of 2 lines with slopes that are negative reciprocals always has one solution. c. If two lines do not have exactly one menstruum of intersection then they must be parallel. d. The system of equations Ax ? By = 1 and ? Ax + By = ?1 has no solution. e. A non- square(p) hyaloplasm cannot have a erratic solution. f. The numeric function for Gaussian elimination can be utilise plainly for square matrices. g. A square matrix that has a unique solution has a bring down matrix with 1s along the one-sided and 0s above and below the 1s. h. A square matrix with an all-zero miscellanea has infinitely many solutions. 2. Solve the snuff it systems of linear equations by substitution. completely solutions must be scripted as consistent pairs. x + y = 3 a. x ? y = 1 b. 2x + y = 7 ?2 x ? y = 5 4x ? y = 1 8x ? 2 y = 2 c. 3. Solve the inclined systems of linear equations by elimination. each(prenominal) solutions must be written as ordered pairs. ?4 x + 2 y = 3 a. 4x ? y = 5 b. 2x + 5 y = 5 ?4 x ? 10 y = ?10 2x + 5 y = 5 ?4 x ? 10 y = 10 c. 4. Solve the given systems of linear equation by graphing. All solutions must be written as ordered pairs. 5x + 2 y = 3 a. 4x ? 2 y = 6 b. 5x ? y = 2 5 x ? y = ?2 x + 2 y = ?6 2 x + 4 y = ?12 c. 5.

What is the size (order) of the following matrices? ? 5? a. ? ?7 ? ? ? ? 9? ? ? ? 9 ?5 3 2 7 ? b. ? ?1 2 0 ?2 ?3? ? ? ? 1 3 ?5 7 9 ? ? ? 6. Solve for the indicat! ed variables. ? 2a ? 1 3 4c + 2 ? ?9 5 ? 2b 2 ? a. ? d 2 2d 11 ? ?6 7e + 2 ? = ?9 ? ? ? ? ?4 g ? 9 h 72 ? ?5 17 72 ? ? ? ? ? 1? ? 9 ? ?4 x ? ? ?w +1 b. ? 2 ?= ? ? y ? 3 z + 7? ?3 3 ? ? 7. State whether or not apiece matrix is in row-echelon form (REF). If it is, determine whether it is in reduced row-echelon form (RREF). State your answer using complete sentences. 4? ?1 0 0 ?0 1 1 2? a. ? ? ? 0 0 1 ?7 ? ? ? ? 1 0 0 4? b....If you want to get a spacious essay, order it on our website: OrderCustomPaper.com

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