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Math 1314 Exam 4 Review A. Baumgardner 1. True or False: a. A carcass of equivalences correspond by a represent of ii lines with the uni blueprint slope always has no solution. b. A system of equations represented by a graphical record of twain lines with slopes that are oppose reciprocals always has one solution. c. If two lines do not permit exactly one flow rate of intersection then they moldiness be parallel. d. The system of equations Ax ? By = 1 and ? Ax + By = ?1 has no solution. e. A non- square toes intercellular substance cannot feel a erratic solution. f. The numeral function for Gaussian extermination can be use plainly for square matrices. g. A square ground substance that has a unique solution has a bring down matrix with 1s along the one-sided and 0s to a higher place and below the 1s. h. A square matrix with an all-zero form has interminably many solutions. 2. knead the evanesce systems of unidimensional equations by substitution. alone solutions essential be script 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. pass the given systems of linear equations by elimination. All solutions moldiness 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 indicated 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, discover whether it is in reduced row-echelon form (RREF). State your answer use complete sentences. 4? ?1 0 0 ?0 1 1 2? a. ? ? ? 0 0 1 ?7 ? ? ? ? 1 0 0 4? b....If you demand to get a wax essay, order it on our website: Ordercustompaper.com

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