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Defining column space as the span of a matrix's column vectors
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Defining column space as the span of a matrix's column vectors
4:56
About this lesson
• \(C(A)=\) column space
• A set of vectors which span{\(v_1,v_2,\cdots,v_n\)}
• \(\vec{b} \;\epsilon \;C(A),\) \(\vec{b}= x_1 v_1+x_2 v_2+\cdots+x_n v_n\)
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Video 1 of 7
Defining column space as the span of a matrix's column vectors
5 min
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Finding a basis for the column space of a matrix
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Checking if a vector is in the column space of a 2x2 matrix
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Finding a basis for the column space using echelon form
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Finding a basis for column space by row reducing a matrix
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