Answer:
v=a+ 2e1= [3 1 1 1] 
.
Step-by-step explanation:
Let a = 
![\left[\begin{array}{ccc}\\1&1&1\\\end{array}\right] ^{T}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5C%5C1%261%261%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5E%7BT%7D)
and we know that
=±║α║₂= 2.
As we have gone over in class, the formula for v is v= a-e1
with the sign of chosen to avoid subtraction. This gives v=a+ 2e1= [3 1 1 1] .
Disclaimer ;The question is incomplete
Question:
Determine the Householder transformation that annihilates all but the first entry of the vector[1 1 1 1]>Specifically, if
![I-2vv^{T}/v^{T}v\left[\begin{array}{ccc}1\\1\\1\\1\end{array}\right]](https://tex.z-dn.net/?f=I-2vv%5E%7BT%7D%2Fv%5E%7BT%7Dv%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C1%5C%5C1%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
==![\left[\begin{array}{ccc}\alpha \\0\\0\\0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Calpha%20%5C%5C0%5C%5C0%5C%5C0%5Cend%7Barray%7D%5Cright%5D)
what are the values of α and v?
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brainly.com/question/28180105
0.05, 0.5, 5/8
5/8 is greater than 0.5 since 0.5 = 1/2 which equals 4/8
X/2+1/3=x/3+1/2
x/2=x/3+1/2-1/3
x/2 - x/3 = 3/6 - 2/6
x/2 - x/3 = 1/6
3x/6 - 2x/6 = 1/6
x/6 = 1/6
x = 1/6 * 6
x = 1
What do you need help with?
Let x represent the larger number.
Let y represent the smaller number.
x-y=4 Given
3x=5y-2 Given
Now we can just substitute; let x=4+y
Substitute 4+y for x in the second equation:
3(4+y)=5y-2
12+3y=5y-2
-2y=-14
y=7
Substitute back (into BOTH equations to double check work).
x, the larger number, is 11
