Math (101) Biotechnology Tests (PDF)
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This document contains three tests for a mathematics and biotechnology course. Each test includes questions on matrices, eigenvalues, and eigenvectors; as well as the solution to some mixture problems.
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Math (101) Biotechnology (Test 1) Mid Term Answer The following Three questions (Total Mark 20) (1) For the matrix A = ( 23 04 ) Find (A - 2I)^2 + 5A (7 Marks) (2) Find the Eigen value and Eigen Vector for the matrix A given above (6 Marks) (3) A...
Math (101) Biotechnology (Test 1) Mid Term Answer The following Three questions (Total Mark 20) (1) For the matrix A = ( 23 04 ) Find (A - 2I)^2 + 5A (7 Marks) (2) Find the Eigen value and Eigen Vector for the matrix A given above (6 Marks) (3) A medicine is available in three dosage forms 1 mg/tablet, 3 mg/tablet, 5 mg/tablet. How many tablets should be mixed to produce 20 tablets containing 3.8 mg/tablet each. Find all possible solutions. (7 Marks) Math (101) Biotechnology (Test 2) Mid Term Answer The following Three questions (Total Mark 20) (1) For the matrix A = ( 42 15 ) Find (A - 2I)^2 + 5A (7 Marks) (2) Find the Eigen value and Eigen Vector for the matrix A given above (6 Marks) (3) A medicine is available in three dosage forms 2 mg/tablet, 4 mg/tablet, 6 mg/tablet. How many tablets should be mixed to produce 25 tablets containing 4.2 mg/tablet each. Find all possible solutions. (7 Marks) Math (101) Biotechnology (Test 3) Mid Term Answer The following Three questions (Total Mark 20) (1) For the matrix A = ( 31 26 ) Find (A - 2I)^2 + 5A (7 Marks) (2) Find the Eigen value and Eigen Vector for the matrix A given above (6 Marks) (3) A medicine is available in three dosage forms 1 mg/tablet, 4 mg/tablet, 7 mg/tablet. How many tablets should be mixed to produce 30 tablets containing 3.5 mg/tablet each. Find all possible solutions. (7 Marks)
