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In this exercise, you will be given two matrices A and B. You will write a set of commands in MATLAB that determine whether Row
In this exercise, you will be given two matrices A and B. You will write a set of commands in MATLAB that determine whether Row A and Row B are subspaces of the same space R". If yes, your code has to determine if dim RowA-dim RowB and, finally, if RowA RowB (Obviously, when two subspaces have the same dimension, it might not be true that they are the same set. For example, a line through the origin in R3 is a one-dimensional subspace of R3, but two lines might be different sets.) Use MATLAB function rank within your code. Recall, the rank of a matrix can be defined as the dimension of the row space of the matrix *In MATLAB, create function [ ] = rowspace(A,B) 1) You should begin with calculating the numbers of columns of matrices A and B (output them) and the dimensions of the Row spaces of A and B. A possible code for this part with the output messages is format compact format rat m-size (A, 2) n-size (B, 2) k-rank (A) p-rank (B) fprintf( 'din of Row A is k = %iin', k) fprintf( 'din of Row B is p- tiin',p) In this exercise, you will be given two matrices A and B. You will write a set of commands in MATLAB that determine whether Row A and Row B are subspaces of the same space R". If yes, your code has to determine if dim RowA-dim RowB and, finally, if RowA RowB (Obviously, when two subspaces have the same dimension, it might not be true that they are the same set. For example, a line through the origin in R3 is a one-dimensional subspace of R3, but two lines might be different sets.) Use MATLAB function rank within your code. Recall, the rank of a matrix can be defined as the dimension of the row space of the matrix *In MATLAB, create function [ ] = rowspace(A,B) 1) You should begin with calculating the numbers of columns of matrices A and B (output them) and the dimensions of the Row spaces of A and B. A possible code for this part with the output messages is format compact format rat m-size (A, 2) n-size (B, 2) k-rank (A) p-rank (B) fprintf( 'din of Row A is k = %iin', k) fprintf( 'din of Row B is p- tiin',p)
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