Linear Independence, Basis and Dimension
Consider a sample linear combination of two vectors : \(\hat{i} = \begin{bmatrix}1\\0 \end{bmatrix}\) and \(\hat{j} = \begin{bmatrix}0\\1 \end{bmatrix}\)...
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Vector Spaces
Formally, a vector space is a set of objects, called vectors. However, it is important to note that word “vector” in algebra has a much broader sense th...