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In Exercises 1–10, find the dimensions of the given matrix, and identify the given entry.
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Chapter 4 Solutions
Bundle: Finite Mathematics, Loose-leaf Version, 7th + WebAssign Printed Access Card for Waner/Costenoble's Finite Mathematics, 7th Edition, Single-Term
- The bookshop manager at the university has developed a matrix formula for determining the number of Pure and Applied Mathematics textbooks he should order each year. For 2016, the starting point for the formula is the column matrix So. This lists the number of Pure and Applied Mathematies textbooks sold in 2015. 505 Pure 316 Applied Oj is a column matrix listing the number of Mathematics and Physics textbooks to be ordered for 2016. Oj is given by the matrix formula : 01 = A So + B where A= 0.85 0 0.78 80 and B = 75 Determine O1, correct to the nearest integer. a. Given that S, - 499 303 Pure , representing the number of textbooks sold in 2016, b. Applied determine O2 (the numbers of books to be ordered for 2017) using the same matrix equation. The matrix formula above only allows the manager to predict the number of books he should order one year ahead. A new matrix formula enables him to determine the number of books to be ordered two or more years ahead. The new matrix formula is On…arrow_forwardIn Exercises 8–19, calculate the determinant of the given matrix. Use Theorem 3 to state whether the matrix is singular or nonsingulararrow_forwardLet matrix B = 5-21 what is The 14-2 3 - 12 2. reduced Yow echelon form of B.arrow_forward
- Compute the determinants in Exercises 9–14 by cofactor expansions. At each step, choose a row or column that involves the least amount of computation.arrow_forwardFind the determinants in Exercises 5–10 by row reduction to echelon form. just number 7arrow_forwardFind the elementary matrix E such that EB = A where 2 3 -2 A = -1 -1 and B -2 7 7 4 -8 -8 ? ? ? E = ? ? ? ? ?arrow_forward
- Use the matrix B= N= 100 to scrub the data in matrix N which contains dates of accidents at a certain airport. 0 1 0 9 9 9 9 10 10 10 8 11 16 18 6 9 14 2019 2019 2019 2019 2019 2019 2019 The data in matrix N has been scrubbed in matrix BN = (Simplify your answer.)arrow_forwardir (;a" – 21)" = [; 31 3. Determine the matrix Aarrow_forward4 11. 5 3 2 -2 2arrow_forward
- Find the elementary matrixE such that EC = A where %3D 5. 4 1 -1 and C = 4 1 A = 3 3 0 1 - 9. -8 19 0 4 ? ? ? E = ? ? ?arrow_forwardMatrix F is below F= 7 12 -3 -5 Find eFarrow_forwardLet A = Find an invertible matrix X and a diagonal matrix D such that X-¹AX = D. 1.88 88 X = -8 0.5] -8-3 D=arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
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