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Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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![Use Theorem 5.5.2 to write the vector v =
as linear combination of
-1/√6
-1/√6
-2/√6
Note that u₁, ₂ and 3 are orthonormal.
U₁ =
U₂
U₁+ U₂+ U13
Use Parseval's formula to compute ||v||²
||v||²³=0
9
-8
-2/√5
0/√5]
1/√5]
and 13
1/√/30
-5/√30
2/√/30](https://content.bartleby.com/qna-images/question/617cb878-49b3-4bae-a7c1-001fc6626ffa/dd9ca4c3-0ed0-4a0f-ac97-4fa2b5e0cedb/08al2pu_thumbnail.jpeg)
Transcribed Image Text:Use Theorem 5.5.2 to write the vector v =
as linear combination of
-1/√6
-1/√6
-2/√6
Note that u₁, ₂ and 3 are orthonormal.
U₁ =
U₂
U₁+ U₂+ U13
Use Parseval's formula to compute ||v||²
||v||²³=0
9
-8
-2/√5
0/√5]
1/√5]
and 13
1/√/30
-5/√30
2/√/30
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- Let V₁, V2, V3 be the vectors in R³ defined by 18 ---D V₁ = -6 V2 = -14 V3 = 20 (a) is (V1, V2, Vs} linearly independent? Write all zeros if it is, or if it is linearly dependent write the zero vector as a non-trivial (not all zero coefficients) linear combination of V₁, V₂, and V3 0 (c) Type the dimension of span {V1, V2, V3}: Note: You can earn partial credit on this problem. -25 -18] 0=v₁+√₂+vs (b) Is (v1, vs} linearly Independent? Write all zeros if it is, or if it is linearly dependent write the zero vector as a non-trivial (not all zero coefficients) linear combination of V₁ and V3. 0=v₁+v₁ V3arrow_forwardFind two linearly independent vectors perpendicular to the vector -0 15 ||arrow_forwardFind A~x and sketch both ~x and A~x: *picture attached*arrow_forward
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