## Question

###### 11_et b =and let A be the matrix in Exercise 9.Is b inthe range of the linear transformation X F > Ax? Why or why not?12. Let b =and let A be the matrix in Exercise 10. Isb in the range Of the linear transformation X F > Ax? Why Or why not? In Exercises 13_16, use a rectangular coordinate system to plot [2], = -2 u = and their images under the given transfor- mation T . (Make a separate and reasonably large sketch for each exercise.) Describe geometrically what T does to each vector X in R

11_ et b = and let A be the matrix in Exercise 9.Is b in the range of the linear transformation X F > Ax? Why or why not? 12. Let b = and let A be the matrix in Exercise 10. Is b in the range Of the linear transformation X F > Ax? Why Or why not? In Exercises 13_16, use a rectangular coordinate system to plot [2], = -2 u = and their images under the given transfor- mation T . (Make a separate and reasonably large sketch for each exercise.) Describe geometrically what T does to each vector X in R? . 13 Jro) = [- _8][:] 14. T(x) =[6 S][~_ 15 To) = /0 'I#~

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