Hi, this question is about Computational Linear Algebra and Matlab. Matlab is a computer program commonly used in engineering.

Exercise 1 (4 points) Difficulty: Moderate 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 R 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 1s format compact format rat m-size (A, 2) n=size (B, 2) k-rank (A) p-rank (B); fprintf ('dim of Row A isk-in',k) fprintf( 'din of Row B is p = %i ',p) Exercise 1 (4 points) Difficulty: Moderate 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 R 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 1s format compact format rat m-size (A, 2) n=size (B, 2) k-rank (A) p-rank (B); fprintf ('dim of Row A isk-in',k) fprintf( 'din of Row B is p = %i ',p)