Answer:
v=a+ 2e1= [3 1 1 1] .
Step-by-step explanation:
Let a = 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
==
what are the values of α and v?
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Given:
Desmond deposits $ 50 monthly.
Yearly he deposits = $50×12 = $ 600
Rate of interest compounded monthly = 4.7%
To find the amount he will receive after 10 years and the rate of change the value of his account after 10 years.
Formula
where,
A be the final amount
P be the principal
r be the rate of interest
t be the time and
n be the number of times the interest is compounded.
Now,
Taking,
P = 600, r = 4.7, n = 12, t = 10 we get,
or,
or,
Now,
At starting he has $ 600
At the end of 10 years he will be having $ 959.1
So,
The amount of change in his account = $ (959.1-600) = $ 359.1
Therefore the rate of change =
= 59.85%
Hence,
a) His account will contain $ 959.1 after 10 years.
b) The rate of change in his account is 59.85% after 10 years.