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Mathematical Methods: Advanced

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Question 1 of 5

If M $=\left[\begin{array}{ccccc} \frac{1}{2} & \frac{1}{2} & 0 & 0 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 & 0 & 0 \\ 0 & 0 & \frac{1}{3} & \frac{1}{3} & \frac{1}{3} \\ 0 & 0 & \frac{1}{3} & \frac{1}{3} & \frac{1}{3} \\ 0 & 0 & \frac{1}{3} & \frac{1}{3} & \frac{1}{3} \end{array}\right]$ ,then

(I)M is diagonalizable

(II) $x^{2}-x$ is the minimal polynomial of M

(I) is true but not (II)

both (I) and (II) true

(II) is true but not (I)

None

Concepts

Ordinary Differential Equations

Linear Algebra

Fourier Analysis

PDES

Complex Numbers and Functions

Power and Taylor Series

Numerics in General

Probability

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Mathematical Methods: Advanced

Quick practice

Question 1 of 5

Concepts

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