Consider a 6 x 4 matrix. Prove that every column in A is in the span.pdf

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Consider a 6 x 4 matrix. Prove that every column in A is in the span of the columns of A. Solution Let columns of A be C1, C2, C3 and C4. Col_Span(A) = {a1C1+a2C2+a3C3+a4C4} where ai are scalars. C1= first column of A belongs to Col_Span(A). Take a1=1, and other a2,a3,a4=0 Similarly C2, C3, C4 also belong to the span of columns of A..

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$Consider a 6 x 4 matrix. Prove that every column in A is in the span of the columns of A. Solution Let columns of A be C1, C2, C3 and C4. Col_Span(A) = {a1C1+a2C2+a3C3+a4C4} where ai are scalars. C1= first column of A belongs to Col_Span(A). Take a1=1, and other a2,a3,a4=0 Similarly C2, C3, C4 also belong to the span of columns of A.$

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