A.1 Which of the sets, equipped with the operations addition and scalar multiplication, are vector spaces (synonymonsly lincar spaces)? Explain! Ma = {(1.12) € R² : 3r1 + 4r2 = 2} M = {(r1.r2, r3) ER : 2r1 - 12-3rs = 0} Me = {(11.12) € R2 : 1,12 = 0} Ma = {(11,72) € R? :z1 + 4r2 21}

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A.1 Which of the sets, equipped with the operations addition and scalar multiplication, are vector spaces
(synonymously linear spaces)? Explain!
Ma = {(r1.r2) € R² : 31 + 4ra = 2}
M = {(r1, r2, 23) ER : 2r1 - *2 - 3ra = 0}
Me = {(r1,72) € R? : 1F2 = 0}
Ma = {(r1,72) E R : a1 + 4r2 2 1}
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Transcribed Image Text:A.1 Which of the sets, equipped with the operations addition and scalar multiplication, are vector spaces (synonymously linear spaces)? Explain! Ma = {(r1.r2) € R² : 31 + 4ra = 2} M = {(r1, r2, 23) ER : 2r1 - *2 - 3ra = 0} Me = {(r1,72) € R? : 1F2 = 0} Ma = {(r1,72) E R : a1 + 4r2 2 1} %3D %3D %3D
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