You tell me? To be a basis, you need three things:FourierX said:are all non zero rows the basis for RS (A)?
The basis for row space is the set of linearly independent rows in a matrix. These rows span the entire row space and can be used to represent all other rows in the matrix through linear combinations.
The basis for column space is the set of linearly independent columns in a matrix. These columns span the entire column space and can be used to represent all other columns in the matrix through linear combinations.
The basis for row space is determined by finding the pivot columns in the matrix. These pivot columns correspond to the linearly independent rows and form the basis for the row space.
The basis for column space is determined by finding the pivot columns in the matrix. These pivot columns correspond to the linearly independent columns and form the basis for the column space.
The basis for row and column space is important because it allows us to represent a matrix in a more concise and efficient way. It also helps us understand the relationships between the rows and columns of a matrix and can be used in various applications such as solving systems of equations and finding eigenvalues and eigenvectors.