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Home Question Bank Other Archive 2024 December 25

Other Questions from Dec 25,2024

Browse the Other Q&A Archive for Dec 25,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Q. 15 Find the eigenvalues and eigenvectors of the matrix \( \left[\begin{array}{ll}6 & 5 \\ 3 & 4\end{array}\right] \). Explain the difference between exponential growth and exponential decay. c) \( \begin{array}{l}\mathrm{U}=\{1,2,3, \ldots 10\} \text { is a given universal set. } O=\{1,3,5,7,9\} \text { and } \\ \mathrm{P}=\{\mathbf{3}, \mathbf{5}, 7\} \text { are any two given sets. } \\ \text { (i) Is the set } O \text { a subset of } U \text { ? Give reason. } \\ \text { (ii) Is the set } P \text { a proper or improper subset of } O \text { ? Give reason. } \\ \text { (iii) Show the sets } O \text { and } P \text { in a diagram. }\end{array} \). \( \mathrm{U}=\{1,2, \mathbf{3}, \ldots \mathbf{1 0}\} \) is a given universal set. \( \mathrm{O}=\{\mathbf{1}, \mathbf{3}, \mathbf{5}, \mathbf{7} \), \( \mathrm{P}=\{\mathbf{3}, \mathbf{5}, 7\} \) are any two given sets. (i) Is the set \( O \) a subset of \( U \) ? Give reason. 1. नीचे दी गई श्रेणी में अगला \( 4,16,8,64,12,256,16,10 \) (a) 4096 (b) 24 (c) 320 (d) 4100 IX. Please determine whether the set of vectors \( \left\{\begin{array}{lll}\alpha_{1} & \alpha_{2} & \alpha_{3}\end{array}\right\} \) is linearly dependent or not, where \( \alpha_{1}=\left(\begin{array}{lll}1 & 1 & 1\end{array}\right)^{T}, \alpha_{2}=\left(\begin{array}{llll}2 & 1 & 1\end{array}\right)^{T}, \alpha_{3}=\left(\begin{array}{lll}3 & 2 & 1\end{array}\right)^{T} \). (Write the answer for the questions on your answer sheet. 10 points) Decision variables in an OR model are : (a) Controllable (b) Uncontrollable (c) Parameters (d) Constants
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