A 3x3 matrix with real entries can have:__________.
1 answer:
Answer:
a) three eigenvalues, all of them real.
d) one real eigenvalue and two complex eigenvalues.
Step-by-step explanation:
A 3x3 matrix with real entries can have : (a) three eigenvalues, all of them are real and (d) one real eigenvalue and two complex eigenvalues.
Let consider the equation for a 3x3 matrix with real entries :
From above ; we will notice that the polynomial is of 3°; as such there will be three eigenvalues in which all of them real.
Also ; complex values shows in pairs, a 3x3 matrix cannot have a three complex eigenvalues but one real eigenvalue and two complex eigenvalues.
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Answer:
See below
Step-by-step explanation:
Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.
To create this equation we will need a regression calculator. The equation will be as follows.
y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )
(b) 2025 - 1900 = 126 years,
y = 0.125873(125) - 7.11916 = $ 8.614965
Minimum Wage : $ 8.614965
Attachment 2 : The rest of the problems can be solved similarly...
(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029
(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³
Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ
(b) 9.08292(1.09965)⁶⁰ = ( About 2713 recommendations )
Donald can feed 61 animals approximately
<em><u>Solution:</u></em>
Given that Donald has pounds of grain to feed his farm animals
Each animal eats of a pound of feed
<em><u>To find: number of animals he can feed</u></em>
From given information,
Total pounds of grains =
One animal feeds =
number of animals he can feed = Total pounds of grains divided by one animal feeds
Thus he can feed 61 animals approximately