VocabMatching - 10. Have pivot positions. 11. Have only the...

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Match the properties to the objects that can have them. Properties: 1. Be linearly independent. 2. Be consistent or inconsistent. 3. Have a unique solution or an infinite number of solutions. 4. Be invertible. 5. Be linear. 6. Be homogeneous. 7. Span all of m . 8. Be one-to-one or onto. 9. Be row equivalent to the identity.
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Unformatted text preview: 10. Have pivot positions. 11. Have only the trivial solution or non-trivial solutions. Objects: a. A set of vectors, or the columns of a matrix. 1, 7 b. A matrix. 4, 10 c. A system of equations, or a matrix equation. 2, 3, 5, 6, 11 (11 only applies to a system of homogeneous equations) d. A transformation. 4, 5, 8, 9...
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This note was uploaded on 01/12/2010 for the course MATH 247 taught by Professor F,newberger during the Spring '03 term at Stanford.

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