Mia is 7.01568 x 10^6 minutes old. Convert her age to more appropriate units using years, months, and days. Assume every other m
1 answer:
Answer:
There are 13 years 6 months and 12 days.
Step-by-step explanation:
Let's convert the scientific notation to standard form of minutes
7.01568x10^6 =7015680 minutes
Now, let's convert this to number of days because each day has 24*60=1440 minutes.
So, number of days in 7015680 minutes is =4872 days
Now, change this 4872 days to years, months and days.
We know 1 year has 12 months and one month has 30 days.
So,
Number of years ==13.53333333 years
Now, convert 0.53333333 years to months.
0.53333333*12=6.4 months.
Now, convert 0.4 months to days.
0.4* 30 =12 days.
So, there are 13 years 6 months and 12 days.
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Answer:
the P matrix you are looking for is P=(1/) · [[1 1 0 0],[1 -1 0 0],[0 0 1 1],[0 0 1 -1]]
Step-by-step explanation:
Answer:
For an orthogonal diagonalization of any matrix you have to:
1º) Find the matrix eigenvalues in a set order.
2º) Find the eigenvectors of each respective eigenvalues.
Tip: You can write the matrix A like A = D P
3º) D is the diagonal matrix with each eigenvalue (in order) in the diagonal.
4º) Write P as the normalized eigenvectors in order (in columns).
Tip 2: Remember, ·P = I, so if A =
D P, then:
P A = P
D P
= I D I = D
So the P we are looking for is the of the diagonalization.
Tip 3: In this case, A is a block matrix with null nondiagonal submatrixes, therefore its eigenvalues can be calculated by using the diagonal submatrixes. The problem is reduced to calculate the eigenvalues of A₁₁ = A ₂₂ = [[5 3],[3 5]]
Solving:
1º)the eigenvalues of A₁₁ are {8,2}, therefore the D matrix is
2º) the eigenvectors of A₁₁ are P₈= {[1 1]T} P₂= {[1 -1]T}, therefore normalizing the eigenvectors you obtain P = (1/) · [[1 1 0 0],[1 -1 0 0],[0 0 1 1],[0 0 1 -1]] (you can see that P =
in this case).
As said in "tip 2": P A = P
D P
= I D I = D
So the P obtained is the one you are looking for.