Linear algebra: please solve q5 and 18 correctly and handwritten Exercises 1-11 refer to the vectors in Eq. (14).2--[4] »-[3] [3]a =b =-12d=-[8] - [8]e=C=(14)In Exercises 1-11, either show that Sp(S) = R² or givean algebraic specification for Sp(S). If Sp(S) # R²,then give a geometric description of Sp (S).1. S = {a}4. S= (a, b)2. S = {b}5. S = {a, d)3. S= {e}6. S = {a, c}In Exercises 12-19, either show that Sp(S) = R³ or givean algebraic specification for Sp(S). If Sp(S) # R³,then give a geometric description of Sp(S).12. S = {v}13. S = {w}14. S = {v, w}16. S18. S{v, w, x}{v, w, z}15. S = (v, x}17. S = {w, x, z}19. S = {w, x, y}7. S = (b, e)9. S = {b, c, d}11. S {a, c, e}Exercises 12-19 refer to the vectors in Eq. (15).-0-0-0W =1V = 2y =26. A =28. A =Z=-38. S = {a, b, d}10. S (a, b, e}13.3 Examples of Subspaces[:]In Exercises 26-37, give an algebraic specification forthe null space and the range of the given matrix A.1-26-1 32-62X =27. A =29. A =(15)2 5187

According to guidelines we can solve only first one mentioned question.

Exercises 1-11 refer to the vectors in Eq. (14). 2 -2 b= 2 --[-]· ·-[3] [3] -[8] - [8] d (14) In Exercises 1-11, either show that Sp(S) = R² or give an algebraic specification for Sp(S). If Sp(S) # R², then give a geometric description of Sp(S). 1. S = {a} 2. S = {b} 3. S = {e} 4. S = (a, b) 5. S = (a, d} 6. S = {a, c)

Exercises 1-11 refer to the vectors in Eq. (14). 2 -2 b= 2 --[-]· ·-[3] [3] -[8] - [8] d (14) In Exercises 1-11, either show that Sp(S) = R² or give an algebraic specification for Sp(S). If Sp(S) # R², then give a geometric description of Sp(S). 1. S = {a} 2. S = {b} 3. S = {e} 4. S = (a, b) 5. S = (a, d} 6. S = {a, c)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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