[ 1 -1 3 -3 5 2 ] A=[ 1 -1 4 -1 9 -4 ]...

[ 1 -1 3 -3 5 2 ]

A=[ 1 -1 4 -1 9 -4 ]

[ -1 1 -3 3 -4 8 ]

[7]

b=[5]

[4]

use the row reduction algorithm to solve the following

Describe the solution set of Ax=b in parametric vector form

describe the solution set of Ax=0 as Span[ V1,V2,....,Vp]

Expert Solution

Colby Messinger answered 1 year ago

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4. (a) Suppose that τσ=(1 5 2 3)(4) and στ=(1 2 4 5)(3) in S5. If...

4. (a) Suppose that τσ=(1 5 2 3)(4) and στ=(1 2 4 5)(3) in S5. If σ1 = 2, find σ and τ. (b) In Sn, show that σ = τ if and only if σ(τ)^(−1) = ε. ε is the identity permutation. Must be written as a proof. (c) Let σ=(1 2 3) and τ=(1 2) in S3. Show that S3={ε,σ,σ^2,τ,τσ,τ(σ)^2} and that σ^3=ε=τ^2 and στ=τ(σ)^2, then fill out the multiplication table for S3.

4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 +...

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x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7...

x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7 9 7 4 6 9 9 -5.48x + 0.17 5.48x + 0.17 -0.17x + 5.48 0.17x + 5.48

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Find the distances: A) Between ?1=〈2+2?,−1+?,−3?〉and ?2=〈4,−5−3?,1+4?〉 . B) Between the planes 2?−?+5?=0 and 2?−?+5?=5 ....

Find the distances: A) Between ?1=〈2+2?,−1+?,−3?〉and ?2=〈4,−5−3?,1+4?〉 . B) Between the planes 2?−?+5?=0 and 2?−?+5?=5 . C) From the point (1,2,3) to the line ?=〈−?,4−?,1+4?〉 .

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[ 1 -1 3 -3 5 2 ] A=[ 1 -1 4 -1 9 -4 ]...

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