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Llana [10]
3 years ago
15

Write Bold x as the sum of two​ vectors, one in Span StartSet Bold u 1 comma Bold u 2 comma Bold u 3 EndSet and one in Span Star

tSet Bold u 4 EndSet. Assume that StartSet Bold u 1 comma ... comma Bold u 4 EndSet is an orthogonal basis for set of real numbers R Superscript 4. Bold u 1equalsStart 4 By 1 Table 1st Row 1st Column 0 2nd Row 1st Column 1 3rd Row 1st Column negative 7 4st Row 1st Column negative 1 EndTable ​, Bold u 2equalsStart 4 By 1 Table 1st Row 1st Column 6 2nd Row 1st Column 8 3rd Row 1st Column 1 4st Row 1st Column 1 EndTable ​, Bold u 3equalsStart 4 By 1 Table 1st Row 1st Column 1 2nd Row 1st Column 0 3rd Row 1st Column 1 4st Row 1st Column negative 7 EndTable ​, Bold u 4equalsStart 4 By 1 Table 1st Row 1st Column 8 2nd Row 1st Column negative 6 3rd Row 1st Column negative 1 4st Row 1st Column 1 EndTable ​, Bold xequalsStart 4 By 1 Table 1st Row 1st Column 12 2nd Row 1st Column negative 7 3rd Row 1st Column 2 4st Row 1st Column 0 EndTable
Verify that

StartSet Bold u 1 comma Bold u 2 EndSetu1,u2

is an orthogonal​ set, and then find the orthogonal projection of y onto

SpanStartSet Bold u 1 comma Bold u 2 EndSetu1,u2.

yequals=left bracket Start 3 By 1 Matrix 1st Row 1st Column 4 2nd Row 1st Column 2 3rd Row 1st Column negative 1 EndMatrix right bracket

4
2
−1
​, Bold u 1u1equals=left bracket Start 3 By 1 Matrix 1st Row 1st Column 3 2nd Row 1st Column 4 3rd Row 1st Column 0 EndMatrix right bracket

3
4
0
​, Bold u 2u2equals=left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 4 2nd Row 1st Column 3 3rd Row 1st Column 0 EndMatrix right bracket

−4
3
0

Mathematics
1 answer:
grin007 [14]3 years ago
3 0

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below for the step by step solution to the question above.

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(2.75 x 107) + (1.23 x 108)

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A 2-column table with 8 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3, 4. The
mrs_skeptik [129]

Answer:

Option B.

Step-by-step explanation:

The given table of values is

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We need to find the interval for which the function f(x) is positive.

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