Solutions for LINEAR ALGEBRA:...(LL)-W/ACCESS>CUSTOM<
Problem 5EQ:
For each of the following pairs of points, draw the vector AB. Then compute and redraw AB as a...Problem 14EQ:
In Figure 1.24, A, B, C, D, E, and F are the vertices of a regular hexagon centered at the origin....Problem 15EQ:
In Exercises 15 and 16, simplify the given vector expression. Indicate which properties in Theorem...Problem 16EQ:
In Exercises 15 and 16, simplify the given vector expression. Indicate which properties in Theorem...Problem 17EQ:
In Exercises 17 and 18, solve for the vector x in terms of the vectors a and b. xa=2(x2a)Problem 22EQ:
In Exercises 21 and 22, draw the standard coordinate axes on the same diagram as the axes relative...Problem 25EQ:
In Exercises 25-28, u and v are binary vectors. Find u + v in each case. u=[01],v=[11]Problem 29EQ:
Write out the addition and multiplication tables for 4.Problem 30EQ:
Write out the addition and multiplication tables for 5.Problem 44EQ:
In Exercises 44-55, solve the given equation or indicate that there is no solution. x+3=2in5Problem 45EQ:
In Exercises 44-55, solve the given equation or indicate that there is no solution.
45.
Problem 46EQ:
In Exercises 44-55, solve the given equation or indicate that there is no solution. 2x=1in3Problem 47EQ:
In Exercises 44-55, solve the given equation or indicate that there is no solution. 2x=1in4Problem 48EQ:
In Exercises 44-55, solve the given equation or indicate that there is no solution.
48.
Problem 49EQ:
In Exercises 44-55, solve the given equation or indicate that there is no solution. 3x=4in5Problem 50EQ:
In Exercises 44-55, solve the given equation or indicate that there is no solution. 3x=4in6Problem 52EQ:
In Exercises 44-55, solve the given equation or indicate that there is no solution.
52.
Problem 53EQ:
In Exercises 44-55, solve the given equation or indicate that there is no solution. 2x+3=2in5Browse All Chapters of This Textbook
Chapter 1 - VectorsChapter 1.1 - The Geometry And Algebra Of VectorsChapter 1.2 - Length And Angle: The Dot ProductChapter 1.3 - Lines And PlanesChapter 1.4 - ApplicationsChapter 2 - Systems Of Linear EquationsChapter 2.1 - Introduction To Systems Of Linear EquationsChapter 2.2 - Direct Methods For Solving Linear SystemsChapter 2.3 - Spanning Sets And Linear IndependenceChapter 2.4 - Applications
Chapter 3.1 - Matrix OperationsChapter 3.2 - Matrix AlgebraChapter 3.3 - The Inverse Of A MatrixChapter 3.4 - The Lu FactorizationChapter 3.5 - Subspaces, Basis, Dimension, And RankChapter 3.6 - Introduction To Linear TransformationsChapter 3.7 - ApplicationsChapter 4.1 - Introduction To Eigenvalues And EigenvectorsChapter 4.2 - DeterminantsChapter 4.3 - Eigenvalues And Eigenvectors Of N X N MatricesChapter 4.4 - Similarity And DiagonalizationChapter 4.6 - Applications And The Perron-frobenius TheoremChapter 5.1 - Orthogonality In RnChapter 5.2 - Orthogonal Complements And Orthogonal ProjectionsChapter 5.5 - ApplicationsChapter 6.1 - Vector Spaces And SubspacesChapter 6.3 - Change Of BasisChapter 6.4 - Linear TransformationsChapter 6.5 - The Kernel And Range Of A Linear TransformationChapter 6.7 - ApplicationsChapter 7.2 - Norms And Distance FunctionsChapter 7.3 - Least Squares ApproximationChapter 7.4 - The Singular Value Decomposition
Book Details
David Poole's innovative LINEAR ALGEBRA: A MODERN INTRODUCTION, 4e emphasizes a vectors approach and better prepares students to make the transition from computational to theoretical mathematics. Balancing theory and applications, the book is written in a conversational style and combines a traditional presentation with a focus on student-centered learning. Theoretical, computational, and applied topics are presented in a flexible yet integrated way. Stressing geometric understanding before computational techniques, vectors and vector geometry are introduced early to help students visualize concepts and develop mathematical maturity for abstract thinking. Additionally, the book includes ample applications drawn from a variety of disciplines, which reinforce the fact that linear algebra is a valuable tool for modeling real-life problems.
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