Linear algebra: please solve q38 correctly and handwritten In Exercises 26-37, give an algebraic specification forthe null space and the range of the given matrix A.1-23-362-6[][12]26. A =28. A =30. A =32. A =34. A =36. A =37. A =1-12-1132711-22-351 0 7-1151 0-12}]51212541341 222i) b=iii) b =27. A =29. A =31. A =33. A =35. A =38. Let A be the matrix given in Exercise 26.a) For each vector b that follows, determinewhether b is in R(A).b) If b is in R(A), then exhibit a vector x in R²such that Ax = b.ii) b =25c) If b is in R(A), then write b as a linearcombination of the columns of A.-[₁[1]v) b = [ - ]-6iv) b =12364010203[vi) b =12 313 12 2 10226- [8]

As per our guidelines, we can only answer first three sub-parts and rest parts can be reposted…

38. Let A be the matrix given in Exercise 26. a) For each vector b that follows, determine whether b is in R(A). b) If b is in R(A), then exhibit a vector x in R² such that Ax = b. c) If b is in R(A), then write b as a linear combination of the columns of A. [2] [1] 6 - [8] [3] -3 i) b = -[0] iii) b = 3 [2] -6 v) b = ii) b = iv) b = vi) b =

38. Let A be the matrix given in Exercise 26. a) For each vector b that follows, determine whether b is in R(A). b) If b is in R(A), then exhibit a vector x in R² such that Ax = b. c) If b is in R(A), then write b as a linear combination of the columns of A. [2] [1] 6 - [8] [3] -3 i) b = -[0] iii) b = 3 [2] -6 v) b = ii) b = iv) b = vi) b =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 40E

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