Let {u₁,u₂,u₃,u₄} be basis to R⁴.
Vector definitions:
v1 = ku₁ - u₃ + u₄,
v2 = u₁ + u₂ - u₄,
v3 = 4u₂ + ku₃ - 6u₄ , k is real number.
A) for what values of k are the vectors v₁,v₂,v₃ independent, dependent?
B) in those cases that v₁,v₂,v₃ are dependent, express v₃ as a combination of v₁ and v₂
C) for what k values is the group {u₁,u₂,u₃,u₄} spanning R⁴ ?
Question
Solution Preview
This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.
Return to homework library