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Cell Structure & Signal Transduction question bank (Cell Biology, Genetics & Molecular Biology)

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Q1.

[Cell Biology, Genetics & Molecular Biology Problem #1] Regarding eigenvalues of a real symmetric matrix A: Which of the following analytical formulations is correct?

(A)

All eigenvalues are pure imaginary

(B)

All eigenvalues are strictly real, and eigenvectors from distinct eigenvalues are orthogonal

(C)

The matrix cannot be diagonalized under any orthogonal transformation

(D)

Eigenvalues must always be positive integers

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Q2.

[Cell Biology, Genetics & Molecular Biology Problem #3] Regarding Cauchy-Riemann equations for an analytic function f(z) = u(x,y) + i v(x,y): Which of the following analytical formulations is correct?

(A)

∂u/∂x = -∂v/∂y and ∂u/∂y = ∂v/∂x

(B)

∂u/∂x = ∂v/∂y and ∂u/∂y = -∂v/∂x

(C)

∂^2u/∂x^2 + ∂^2v/∂y^2 = 0 strictly

(D)

∂u/∂x + ∂v/∂y = 0 and ∂u/∂y + ∂v/∂x = 0

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