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Let R4 have the Euclidean inner product. Use the Gram-Schmidt process to tu basis. uj = (0,2,1,0), u2 = (1, - 1,0,0), u3 = (1,2,0, – 1), u4 = (3,0,0,3) 51 5 2 15 ,1 1 1 %3D 42 = 6' 5 V 6' 5

Let R4 have the Euclidean inner product. Use the Gram-Schmidt process to tu basis. uj = (0,2,1,0), u2 = (1, - 1,0,0), u3 = (1,2,0, – 1), u4 = (3,0,0,3) 51 5 2 15 ,1 1 1 %3D 42 = 6' 5 V 6' 5

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 13 of 13 -/1 Let Rª have the Euclidean inner product. Use the Gram-Schmidt process to transform the basis {u1, u2, U3, U4, } into an orthonormal basis. U1= (0,2,1,0), u2 = (1, – 1,0,0), u3 = (1,2,0, – 1), u4 = (3,0,0,3) %3D %3D %3D 1 1 1 5 1 5 2 5 65V 6 5 91 = 92 = 5 1 5 2 |5 5 1 5 2 5 93 = Võ3 V 6 5V6 ). 4 = 5 1 4 2 5 V6'5 6 1 1 %D 92 I| 9^ 9^ 9^ 51 5 2 6' 3 ▼ 6'5 V 6 5 1 5 2 5 6' 5 V 6'5V 6' 93 4 %D 94 = 152 5V6 5 1 1 92 5 5 152 1 6' 5 6'5V6 5 1 5 2 [5 93 = 94 = 3 V6 51 1 5 2 5 5 92 = 65V 91 0, V5' V5 2 3 (tVtV - V - V). 94 = %3D 93 V15' V15 V15 V15
Transcribed Image Text:Question 13 of 13 -/1 Let Rª have the Euclidean inner product. Use the Gram-Schmidt process to transform the basis {u1, u2, U3, U4, } into an orthonormal basis. U1= (0,2,1,0), u2 = (1, – 1,0,0), u3 = (1,2,0, – 1), u4 = (3,0,0,3) %3D %3D %3D 1 1 1 5 1 5 2 5 65V 6 5 91 = 92 = 5 1 5 2 |5 5 1 5 2 5 93 = Võ3 V 6 5V6 ). 4 = 5 1 4 2 5 V6'5 6 1 1 %D 92 I| 9^ 9^ 9^ 51 5 2 6' 3 ▼ 6'5 V 6 5 1 5 2 5 6' 5 V 6'5V 6' 93 4 %D 94 = 152 5V6 5 1 1 92 5 5 152 1 6' 5 6'5V6 5 1 5 2 [5 93 = 94 = 3 V6 51 1 5 2 5 5 92 = 65V 91 0, V5' V5 2 3 (tVtV - V - V). 94 = %3D 93 V15' V15 V15 V15
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