Let W be the set of all vectors of the form shown on the right, where a, b, and c represent arbitrary real numbers. Find a set S of vectors that spans W or give an example or an explanation to show...


Let W be the set of all vectors of the form shown on the right, where a, b, and c represent arbitrary real numbers. Find a<br>set S of vectors that spans W or give an example or an explanation to show that W is not a vector space.<br>5a + 9b<br>8b-3c<br>2c + 4a<br>2b<br>Select the correct choice and fill in the answer box as needed to complete your choice.<br>O A. A spanning set is S= {}<br>(Use a comma to separate answers as needed.)<br>O B. There is no spanning set of W because W does not contain the zero vector.<br>O C. There is no spanning set of W because W is not closed under scalar multiplication.<br>O D. There is no spanning set of W because W is not closed under vector addition.<br>

Extracted text: Let W be the set of all vectors of the form shown on the right, where a, b, and c represent arbitrary real numbers. Find a set S of vectors that spans W or give an example or an explanation to show that W is not a vector space. 5a + 9b 8b-3c 2c + 4a 2b Select the correct choice and fill in the answer box as needed to complete your choice. O A. A spanning set is S= {} (Use a comma to separate answers as needed.) O B. There is no spanning set of W because W does not contain the zero vector. O C. There is no spanning set of W because W is not closed under scalar multiplication. O D. There is no spanning set of W because W is not closed under vector addition.

Jun 05, 2022
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