Mid Term Math(101) Biotechnology (A) PDF

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WonRocket9159

Uploaded by WonRocket9159

MUST University

2022

Prof. Dr Ali Hussien

Tags

matrix operations eigenvalues eigenvectors mathematics

Summary

This document contains a mathematics exam for a biotechnology course. The exam covers topics including matrix operations and finding eigenvalues and eigenvectors. It also includes a word problem about mixing medicine dosages.

Full Transcript

Math(101) Biotechnology ( A) Mid Term 12/11/2022 Prof. Dr Ali Hussien Time: 60 min Answer The following Three questions (Total Mark 20) 𝟏 𝟏 (1) For the matrix A= ( ) 𝑭𝒊𝒏𝒅 𝟎 𝟐 𝟐 (𝑨 − 𝟐𝑰) + 𝟓...

Math(101) Biotechnology ( A) Mid Term 12/11/2022 Prof. Dr Ali Hussien Time: 60 min Answer The following Three questions (Total Mark 20) 𝟏 𝟏 (1) For the matrix A= ( ) 𝑭𝒊𝒏𝒅 𝟎 𝟐 𝟐 (𝑨 − 𝟐𝑰) + 𝟓𝑨 (𝑰 𝒊𝒔 𝒖𝒏𝒊𝒕 𝒎𝒂𝒕𝒓𝒊𝒙) (𝟕 𝑴𝒂𝒓𝒌) (2)Find the Eigen value and Eigen Vector for the matrix A given above (𝟔 𝑴𝒂𝒓𝒌) (2)Amedicin is available in three dosage forms 1 mg/tablet ,3 mg/tablets, 5 mg/tablets.How many tablets should be mixed to produce 20 tablets containing 3.8 mg/tablet each.Find all possible solutions. (7 mark )

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