Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Matrices
‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements ar…
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7. Provide a justification for your response to the following questions. a. Suppose that we have vectors in R°, Can every vector b in R° be written as a linear combination of V1, V2,• ••, whose span is R°. V10, V1, V2, ..., V10? b. Suppose that we have vectors in R°, v1, V2, ..., V10, whose span is R°. Can every vector b in R° be written uniquely as a linear combination of V1, V2,· ••, V10? С. Do the vectors ei = e2 = ez = span R? 438 d. Suppose that v1, v2, ..., Vn span R°. What can you guarantee about the value of n? е. Can 17 vectors in R20 span R"?
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Transcribed Image Text:7. Provide a justification for your response to the following questions. a. Suppose that we have vectors in R°, Can every vector b in R° be written as a linear combination of V1, V2,• ••, whose span is R°. V10, V1, V2, ..., V10? b. Suppose that we have vectors in R°, v1, V2, ..., V10, whose span is R°. Can every vector b in R° be written uniquely as a linear combination of V1, V2,· ••, V10? С. Do the vectors ei = e2 = ez = span R? 438 d. Suppose that v1, v2, ..., Vn span R°. What can you guarantee about the value of n? е. Can 17 vectors in R20 span R"?
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