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2 cards from this section. Quick, good the night before a test.
Write a linear combination of the vectors (1, 2) and (3, 4).
Use coefficients of your choice.
What is the span of the vectors (1, 0) and (0, 1)?
Think about what combinations can result from these vectors.
What is a linear combination?
Consider expressions of the form a1v1 + a2v2.
True or False: The span of vectors is the collection of all linear combinations of those vectors.
Remember definitions covered earlier.
Given the vectors v1 = (1, 1) and v2 = (2, 2), find a unique combination resulting in the vector (3, 3). Discuss whether these two vectors are independent.
Draw or graph these vectors to visually speculate about their relationship.
Design a three-dimensional span using two specific non-parallel vectors. Discuss if it can fill the entire space.
Visualize using a 3D graph to see how dimensions interact!
4 more questions in this section. Enroll free to practise them all.
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