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TLS Online TPP Program
#Question id: 13664
#Unit 12. Biochemical Engineering
A 2×2 matrix P has an eigenvalue 𝜆1 = 2 with eigenvector 
another eigenvalue 𝜆2 = 5, with eigenvector 
The matrix P is
another eigenvalue 𝜆2 = 5, with eigenvector The matrix P isTLS Online TPP Program
#Question id: 13692
#Unit 12. Biochemical Engineering
Two straight lines pass through the origin (𝑥0, 𝑦0) = (0,0). One of them passes through the point (𝑥1, 𝑦1) = (1,3) and the other passes through the point (𝑥2, 𝑦2) = (1,2).
What is the area enclosed between the straight lines in the interval [0, 1] on the 𝑥-axis?
TLS Online TPP Program
#Question id: 13693
#Unit 12. Biochemical Engineering
If
𝑝 ∶ 𝑞 = 1 ∶ 2
𝑞 ∶ 𝑟 = 4 ∶ 3
𝑟 ∶ 𝑠 = 4 ∶ 5
and 𝑢 is 50% more than 𝑠, what is the ratio 𝑝 ∶ 𝑢?
TLS Online TPP Program
#Question id: 13704
#Unit 12. Biochemical Engineering
is equaltoTLS Online TPP Program
#Question id: 14101
#Unit 12. Biochemical Engineering
For a matrix M = [m ij]; i,j = 1,2,3,4, the diagonal elements are all zero and mij = —mji. The minimum number of elements required to fully specify the matrix is
TLS Online TPP Program
#Question id: 13799
#Unit 12. Biochemical Engineering
What is the solution of the differential equation 
, with the initial condition, at x = 0, y = 1?
, with the initial condition, at x = 0, y = 1?