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Let v = (1,0, 1), w = (1, 0, –1), and let V span(v) %D and W = span(w) Which one of the following statements is true? 3 а. VӨW - R but V Y W b. The sum of V and W is not a direct sum, but V + W = R’and V Į W O c. V O W R' and V 1 W d. V + W # R'and V W The sum of V and W is not a direct sum, but V + W = R'and V I W O f. V + W # R' but V 1 W е.

Let v = (1,0, 1), w = (1, 0, –1), and let V span(v) %D and W = span(w) Which one of the following statements is true? 3 а. VӨW - R but V Y W b. The sum of V and W is not a direct sum, but V + W = R’and V Į W O c. V O W R' and V 1 W d. V + W # R'and V W The sum of V and W is not a direct sum, but V + W = R'and V I W O f. V + W # R' but V 1 W е.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 30E
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Let v = (1, 0, 1), w = (1, 0, –1), and let V = span(v) and W span(w) Which one of the following statements is true? V O W = R³ but V W а. 3 b. The sum of V and W is not a direct sum, but V + W = R'and V ĮW 3 V O W = R' and V I W С. d. V + W ±R’and V ¥ W 3 e. The sum of V and W is not a direct sum, but V + W = R’and V I W O f. V + W + R’ but V 1 W
Transcribed Image Text:Let v = (1, 0, 1), w = (1, 0, –1), and let V = span(v) and W span(w) Which one of the following statements is true? V O W = R³ but V W а. 3 b. The sum of V and W is not a direct sum, but V + W = R'and V ĮW 3 V O W = R' and V I W С. d. V + W ±R’and V ¥ W 3 e. The sum of V and W is not a direct sum, but V + W = R’and V I W O f. V + W + R’ but V 1 W
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