Elementary Linear Algebra - Text Only (...8th EditionLarson Publisher: Cengage LearningISBN: 9781305953208
Elementary Linear Algebra - Text Only (...
Solutions for Elementary Linear Algebra - Text Only (Looseleaf)
Problem 1E:
The determinant of a matrix product In Exercises 1-6, find (a)|A|,(b)|B|,(c)AB and (d)|AB|.Then...Problem 2E:
The determinant of a matrix product In Exercises 1-6, find (a)|A|,(b)|B|,(c)AB and (d)|AB|.Then...Problem 3E:
The determinant of a matrix product In Exercises 1-6, find (a)|A|,(b)|B|,(c)AB and (d)|AB|.Then...Problem 4E:
The determinant of a matrix product In Exercises 1-6, find (a)|A|,(b)|B|,(c)AB and (d)|AB|. Then...Problem 5E:
The determinant of a matrix product In Exercises 1-6, find (a)|A|,(b)|B|,(c)AB and (d)|AB|.Then...Problem 7E:
The Determinant of a scalar multiple of a Matrix In Exercises 7-14, use the fact that |cA|=cn|A| to...Problem 9E:
The Determinant of a scalar multiple of a Matrix In Exercises 7-14, use the fact that |cA|=cn|A| to...Problem 11E:
The Determinant of a scalar multiple of a Matrix In Exercises 7-14, use the fact that |cA|=cn|A| to...Problem 12E:
The Determinant of a scalar multiple of a Matrix In Exercises 7-14, use the fact that |cA|=cn|A| to...Problem 13E:
The Determinant of a scalar multiple of a Matrix In Exercises 7-14, use the fact that |cA|=cn|A| to...Problem 15E:
The Determinant of a Matrix Sum In Exercises 15-18, find (a)|A|,(b)|B|,(c)A+B and (d)|A+B|. Then...Problem 17E:
The Determinant of a Matrix Sum In Exercises 15-18, find (a)|A|,(b)|B|,(c)A+Band(d)|A+B|.Then verify...Problem 19E:
Classifying Matrices as Singular or Nonsingular In Exercises 19-24, use a determinant to decide...Problem 21E:
Classifying Matrices as Singular or Nonsingular In Exercises 19-24, use a determinant to decide...Problem 22E:
Classifying Matrices as Singular or Nonsingular In Exercises 19-24, use a determinant to decide...Problem 23E:
Classifying Matrices as Singular or Nonsingular In Exercises 19-24, use a determinant to decide...Problem 25E:
The Determinant of a Matrix in Exercises 25-30, find |A1|.Being by finding A1, and then evaluate its...Problem 26E:
The Determinant of a Matrix in Exercises 25-30, find |A1|.Being by finding A1, and then evaluate its...Problem 27E:
The Determinant of a Matrix in Exercises 25-30, find |A1|.Being by finding A1, and then evaluate its...Problem 28E:
The Determinant of a Matrix in Exercises 25-30, find |A1|.Being by finding A1, and then evaluate its...Problem 29E:
The Determinant of a Matrix in Exercises 25-30, find |A1|.Being by finding A1, and then evaluate its...Problem 31E:
System of Linear Equation In Exercises 31-36, use the determinant of the coefficient matrix to...Problem 32E:
System of Linear Equation In Exercises 31-36, use the determinant of the coefficient matrix to...Problem 33E:
System of Linear Equation In Exercises 31-36, use the determinant of the coefficient matrix to...Problem 34E:
System of Linear Equation In Exercises 31-36, use the determinant of the coefficient matrix to...Problem 37E:
Singular Matrices In Exercises 37-42, find the values of ksuch that Ais singular. A=[k132k2]Problem 38E:
Singular Matrices In Exercises 37-42, find the values of ksuch that Ais singular. A=[k122k+2]Problem 39E:
Singular Matrices In Exercises 37-42, find the values of ksuch that Ais singular. A=[10301042k]Problem 40E:
Singular Matrices In Exercises 37-42, find the values of ksuch that Ais singular. A=[1k220k314]Problem 41E:
Singular Matrices In Exercises 37-42, find the values of k such that A is singular. A=[0k1k1k1k0]Problem 43E:
Finding Determinants In Exercises 43-50, find (a)|AT|,(b)|A2|,(c)|AAT|,(d)|2A|, and (e)|A1|....Problem 45E:
Finding Determinants In Exercises 43-50, find (a)|AT|,(b)|A2|,(c)|AAT|,(d)|2A|, and (e)|A1|....Problem 47E:
Finding Determinants In Exercises 43-50, find (a)|AT|,(b)|A2|,(c)|AAT|,(d)|2A|, and (e)|A1|....Problem 49E:
Finding Determinants In Exercises 43-50, find (a)|AT|,(b)|A2|,(c)|AAT|,(d)|2A|, and (e)|A1|....Problem 51E:
Finding Determinants In Exercises 51-56, use a software program or a graphing utility to find a |A|,...Problem 57E:
Let A and B be square matrices of order 4 such that |A|=5 and |B|=3.Find a |A2|, b |B2|, c |A3|, and...Problem 58E:
CAPSTONE Let A and B be square matrices of order 3 such that |A|=4 and |B|=5. a Find |AB| b Find...Problem 61E:
Find two 22 matrices such that |A|+|B|=|A+B|.Problem 65E:
Guided Proof Prove that the determinant of an invertible matrix A is equal to 1 when all of the...Problem 76E:
Orthogonal Matrices in Exercises 73-78, determine whether the matrix is orthogonal. An invertible...Browse All Chapters of This Textbook
Chapter 1.1 - Introduction To Systems Of Linear EquationsChapter 1.2 - Guassian Eliminationa And Guass-jordan EliminationChapter 1.3 - Applications Of Systems Of Linear EquationsChapter 1.CR - Review ExercisesChapter 2.1 - Operations With MatricesChapter 2.2 - Properties Of Matrrix OperationsChapter 2.3 - The Inverse Of A MatrixChapter 2.4 - Elementary MatricesChapter 2.5 - Markov ChainChapter 2.6 - More Applications Of Matrix Operations
Chapter 2.CR - Review ExercisesChapter 3.1 - The Determinants Of A MatrixChapter 3.2 - Determininants And Elementary OperationsChapter 3.3 - Properties Of DeterminantsChapter 3.4 - Applications Of DeterminantsChapter 3.CR - Review ExercisesChapter 3.CM - Cumulative ReviewChapter 4.1 - Vector In R^nChapter 4.2 - Vector SpacesChapter 4.3 - Subspaces Of Vector SpacesChapter 4.4 - Spanning Sets And Linear IndependenceChapter 4.5 - Basis And DimensionChapter 4.6 - Rank Of A Matrix And Systems Of Linear EquationsChapter 4.7 - Cooridinates And Change Of BasisChapter 4.8 - Applications Of Vector SpacesChapter 4.CR - Review ExercisesChapter 5.1 - Length And Dot Product In R^nChapter 5.2 - Inner Product SpacesChapter 5.3 - Orthonormal Bases:gram-schmidt ProcessChapter 5.4 - Mathematical Models And Least Squares AnalysisChapter 5.5 - Applications Of Inner Product SpacesChapter 5.CR - Review ExercisesChapter 5.CM - Cumulative ReviewChapter 6.1 - Introduction To Linear TransformationsChapter 6.2 - The Kernewl And Range Of A Linear TransformationChapter 6.3 - Matrices For Linear TransformationsChapter 6.4 - Transistion Matrices And SimilarityChapter 6.5 - Applications Of Linear TransformationsChapter 6.CR - Review ExercisesChapter 7.1 - Eigenvalues And EigenvectorsChapter 7.2 - DiagonalizationChapter 7.3 - Symmetric Matrices And Orthogonal DiagonalizationChapter 7.4 - Applications Of Eigenvalues And EigenvectorsChapter 7.CR - Review ExercisesChapter 7.CM - Cumulative ReviewChapter A - Appendix
Sample Solutions for this Textbook
We offer sample solutions for Elementary Linear Algebra - Text Only (Looseleaf) homework problems. See examples below:
Chapter 1.CR, Problem 1CRGiven information: [21005−4]−3[53−60−25] Calculation: If A and B are the matrices of the same size,...Given: The equation is 4y−x=10. Approach: The equation of the form y=ax+b is linear in variable x....Given: The vector u is (1,−2,−3). The vector v is (3,1,0). Approach: The vector u+v is the sum of u...Given: The vectors are as follows. v=(1,−2)w=(2,−5) Approach: Add individual elements of the two...Given: The given function is, T(v1,v2)=(v1,v1+2v2), The points are, v=(2,−3), and w=(4,12)....Given: The function T:R3→R2, T(x,y,z)=(2x,x+y). Approach: A function T:A→B is a linear...
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EBK ELEMENTARY LINEAR ALGEBRA
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Elementary Linear Algebra
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