Question
In: Advanced Math
Define the following on R3: 〈(a, b, c), (a′, b′, c′)〉 = 2aa′ + bb′ +...
Define the following on R3:
〈(a, b, c), (a′, b′, c′)〉 = 2aa′ + bb′ + 3cc′.
(a) Prove that 〈 , 〉 is an inner product on R3.
(b) Let B = {(1,1,0),(1,0,1),(0,1,1)}. Is B an orthogonal basis for
R3 under the inner product defined above. If not, use the
Gram-Schmidt algorithm to transform B into an orthogonal basis.
Solutions
Colby Messinger answered 2 years agoRelated Solutions
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1) Use the following information to answer questions a, b, and
c. Base Brewery (BB) is considering buying a new goobering machine
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Parent 1: AA Bb cc Parent 2: Aa Bb Cc A, B, and C are dominant....
Parent 1: AA Bb cc
Parent 2: Aa Bb Cc
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How many distinct phenotypes could be produced?
Find the matrix A' for T relative to the basis B'. T: R3 → R3, T(x,...
Find the matrix A' for T relative to the basis
B'.
T: R3 → R3, T(x, y, z) = (y − z, x − z, x
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Define the following order on the set Z × Z: (a, b) < (c, d) if...
Define the following order on the set Z × Z: (a, b) < (c, d)
if either a < c or a = c and b < d. This is referred to as
the dictionary order on Z × Z.
(a) Show that there are infinitely many elements (x, y) in Z × Z
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Case (A) Case (B) Case (C) Beginning Balance (BB) ? $ 39,000 $ 23,900 Ending Balance...
Case (A)
Case (B)
Case (C)
Beginning Balance (BB)
?
$
39,000
$
23,900
Ending Balance (EB)
$
83,000
35,200
24,300
Transferred In (TI)
165,600
113,700
?
Transferred Out (TO)
180,600
?
37,100
For Case (B) above, what is the amount Transferred Out (TO)?
$152,700.
$109,900.
$148,900.
$117,500.
Case (A) Case (B) Case (C) Beginning Balance (BB) ? $ 23,000 $ 7,900 Ending Balance...
Case
(A)
Case
(B)
Case
(C)
Beginning
Balance (BB)
?
$
23,000
$
7,900
Ending Balance
(EB)
$
67,000
19,200
8,300
Transferred In
(TI)
149,600
97,700
?
Transferred Out
(TO)
164,600
?
21,100
For Case (A) above, what is the Beginning Balance (BB)?
$52,000.
$82,000.
$67,000.
$97,600.
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c.
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d.
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Interferon:
Define the following terms: A- portfolio B- Diversification C- Correlation D- Beta
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A- portfolio
B- Diversification
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D- Beta
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define the following of a microscope
(a) Magnification
(b) resolution
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