Question: ool rank of a matrix import Pkg. add (RowEchelon) using (Row Echelon) using (LinearAlgebra) rank A) syntax: extra token after end of expression 2) Determine
ool rank of a matrix import Pkg. add (RowEchelon) using (Row Echelon) using (LinearAlgebra) rank A) syntax: extra token ""after end of expression 2) Determine whether or not Col(A) and Col(B) are the same subspace of R3. Explain what you calculated and why it worked. Notice that this is not obvious For example, if two subspaces of R3 each have dimension 1, then each will be a line through the origin, but they might not be the same line. If each has dimension 2, then they are planes through the origin but not necessarily the same plane. In general, if two subspaces of R" have the same dimension k, then we can visualize each as looking like R but they might not be the same sets. Your goal is to figure out a way to decide if two subspaces of R", which have the same dimension, are actually the same set of points (vectors) and apply your method to the subspaces Col(A) and Col(B) Make sure to explain and support your answers Do your computations below 2811 import Pkg add ( RowEchelon) using Row Echelon using LinearAlgebra rref (A) syntax: extra token after end of expression Type your explanation below Type Markdown and LaTex a2 ool rank of a matrix import Pkg. add (RowEchelon) using (Row Echelon) using (LinearAlgebra) rank A) syntax: extra token ""after end of expression 2) Determine whether or not Col(A) and Col(B) are the same subspace of R3. Explain what you calculated and why it worked. Notice that this is not obvious For example, if two subspaces of R3 each have dimension 1, then each will be a line through the origin, but they might not be the same line. If each has dimension 2, then they are planes through the origin but not necessarily the same plane. In general, if two subspaces of R" have the same dimension k, then we can visualize each as looking like R but they might not be the same sets. Your goal is to figure out a way to decide if two subspaces of R", which have the same dimension, are actually the same set of points (vectors) and apply your method to the subspaces Col(A) and Col(B) Make sure to explain and support your answers Do your computations below 2811 import Pkg add ( RowEchelon) using Row Echelon using LinearAlgebra rref (A) syntax: extra token after end of expression Type your explanation below Type Markdown and LaTex a2
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