Consider a 6 x 4 matrix. Prove that every column in A is in the span.pdf
0 likes5 views
The document presents a proof demonstrating that each column in a 6 x 4 matrix is within the span of the matrix's columns. It defines the column span as a linear combination of the columns, where each column can be represented by selecting appropriate scalar values. This is validated by showing that the first, second, third, and fourth columns can all be expressed in this manner.
1 of 1
Download to read offline
More Related Content
More from alamodeindia1 (6)
Recently uploaded (20)
Consider a 6 x 4 matrix. Prove that every column in A is in the span.pdf
- 1. 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.