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Linear Algebra Test 1 - Chapters 1 and 2 Practice Problems

Math 2331. Linear Algebra Test 1 - Chapters 1 and 2. Practice Problems Use the following vectors for questions 1-7. 1 . 2 . 1 1 . 2 0 1 .. u= v= w= 2 . 4 1 1.. 2 0 2 . 1 .. 2 . 1. Find u i w 2. Find u iv 3. Find 2u + 4 w 4. Find v w 5. Are v and w orthogonal? 6. Find the length of each vector. 7. State a unit vector in the direction of u. Answer questions 8-12 for each of the following systems: x 3y = 4 x y = 1 x + 5y = 5. 2 x 4 y = 2 x+ y =5 x + 3 y = 5. 8. Sketch the ROW PICTURE of the solution to the system. 9. Sketch the COLUMN PICTURE of the solution to the system. 10. State the system as a matrix equation.

Linear Algebra . Test 1 - Chapters 1 and 2 . Practice Problems . Use the following vectors for questions 1-7 . 1 2 4 2. u ...

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