(i) Let {u, v} be linearly independent vectors in a vector space V. Determine whether set {v – u, v + u} is linearly independent or linearly dependent. (ii) Let {u, v, w} be linearly independent vectors in a vector space V. Determine whether the set {y - U. w - V. I – w} is linearly independent or linearly dependent.

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: