10 3 1 V5 -8 4 V1 V2 V3 -2 V4 4 6. A. Without calculations, determine if the set of vectors, S = {v1, v2, v3, V4, v5}, is linearly dependent or independent. S consists of 5 vectors in R*. В. Determine...


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10<br>3<br>1<br>V5<br>-8<br>4<br>V1<br>V2<br>V3<br>-2<br>V4<br>4<br>6.<br>A.<br>Without calculations, determine if the set of vectors, S = {v1, v2, v3, V4, v5}, is<br>linearly dependent or independent. S consists of 5 vectors in R*.<br>В.<br>Determine whether the set of vectors, T = {v1, v2, V3, V4}, is linearly dependent or<br>independent using the rank of the matrix composed of the vectors in T.<br>С.<br>Determine whether the set of vectors, Q = {v1, v3, V4, V5}, is linearly dependent or<br>independent using the determinant of the matrix composed of the vectors in Q.<br>D.<br>Show that vs can be written as a linear combination of v1, v2, v3 and v4 by solving<br>for the constants C1, C2, ... and c, in the equation c, v, + C2V2 + …-+ C4V4 = V5.<br>From your results of part a, b, c, and d, what is the span of<br>a. vi and v2<br>b. Vi, V2, and v3<br>с. Т, Q, аnd S<br>Е.<br>

Extracted text: 10 3 1 V5 -8 4 V1 V2 V3 -2 V4 4 6. A. Without calculations, determine if the set of vectors, S = {v1, v2, v3, V4, v5}, is linearly dependent or independent. S consists of 5 vectors in R*. В. Determine whether the set of vectors, T = {v1, v2, V3, V4}, is linearly dependent or independent using the rank of the matrix composed of the vectors in T. С. Determine whether the set of vectors, Q = {v1, v3, V4, V5}, is linearly dependent or independent using the determinant of the matrix composed of the vectors in Q. D. Show that vs can be written as a linear combination of v1, v2, v3 and v4 by solving for the constants C1, C2, ... and c, in the equation c, v, + C2V2 + …-+ C4V4 = V5. From your results of part a, b, c, and d, what is the span of a. vi and v2 b. Vi, V2, and v3 с. Т, Q, аnd S Е.

Jun 04, 2022
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