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Unformatted text preview: Newberger Math 247 Spring 03 Review sheet for Exam 2 This exam will cover Sections 1.8, 1.9, 2.1, 2.2, 2.3, 2.8, 3.1. You will be asked to state the definitions of the following terms. Use precise language; to be safe, you may want to use the defi- nitions straight from the text. 1. One-to-one and onto. 2. Subspace of a vector space. 3. Basis for a subspace. Other vocabulary that you should be familiar with: 1. Linear (transformation). 2. Standard matrix for a linear transformation. 3. Matrix multiplication. 4. Invertible matrix. 5. Elementary matrix. 6. Column space of a matrix. 7. Null space of a matrix. 8. Determinant. From Sections 1.8 and 1.9: 1. You may be asked to determine whether or not a given trans- formation is linear, and to prove you answer is correct. (See for example Section 1.8 #29, 30, 32, 33, 35, 36 and Quiz 4. 2. You may be asked to give the standard matrix for a linear transformation. See for example Section 1.9 #1-11, #17-20 and Quiz 5....
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- Spring '03