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Tutorial 2 - Tutorial 1 Introduction to Calculus and Linear...

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Tutorial 1 – Introduction to Calculus and Linear Algebra Page 1 of 2 Tutorial 2 Introduction to Calculus and Linear Algebra Use row operations to change each matrix in Exercises 1 and 2 to reduced form. 1. - 3 1 0 1 2 1 2. - - 6 3 0 0 0 2 1 0 1 3 0 1 Solve Exercises 3 to 6 using Gauss-Jordan elimination. 3. 6 4 2 9 6 3 2 1 2 1 = + - - = - x x x x 4. 3 3 6 2 2 4 2 1 2 1 - = + - = - x x x x 5. 1 12 5 0 21 9 3 2 10 4 2 3 2 1 3 2 1 3 2 1 = - + = - + - = - + x x x x x x x x x 6. 4 2 4 2 8 5 2 18 8 3 3 2 1 3 2 1 3 2 1 - = + + = + + - = - + x x x x x x x x x 7. A chemist has two solutions of sulfuric acid: a 20% solution and an 80% solution. How much of each should be used to obtain 100 liters of a 62% solution? 8. A chemist can purchase a 10% saline solution in 500 cubic centimeter containers, a 20% saline solution in 500 cubic centimeter containers, and a 50% saline solution in 1,500 cubic centimeter containers. He needs 12,000 cubic centimeters of 30% saline solution. How many containers of each type of solution should he purchase in order to form this

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Tutorial 2 - Tutorial 1 Introduction to Calculus and Linear...

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