3. Show that the vectors v₁ = (0, 3, 1, -1); v₂ (6, 0, 5, 1); v =(4, -7, 1, 3) form a linearly dependent set in R¹? 4. Express V₁ in number 3 as linear combination of V₂ and V3.
3. Show that the vectors v₁ = (0, 3, 1, -1); v₂ (6, 0, 5, 1); v =(4, -7, 1, 3) form a linearly dependent set in R¹? 4. Express V₁ in number 3 as linear combination of V₂ and V3.
3. Show that the vectors v₁ = (0, 3, 1, -1); v₂ (6, 0, 5, 1); v =(4, -7, 1, 3) form a linearly dependent set in R¹? 4. Express V₁ in number 3 as linear combination of V₂ and V3.
Solve the following problem with complete and organized solutions.
Transcribed Image Text:3. Show that the vectors = (0, 3, 1, -1); v₂ = (6. 0. 5. 1); v₂ =(4, -7, 1, 3) form a linearly dependent set in R*?
4. Express V₁ in number 3 as linear combination
of V₂ and V3.
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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