Applied Mathematics 1411A/B Lecture Notes - Lecture 14: Row Echelon Form, Minimax, Elementary Matrix
12 Mar 2015
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Row space, column space, and null space (4. 7; pg. Recall: last day, we introduced the concept of row, column, and null space. Theorem: elementary row operations do not change the row space of a matrix. Example: find a basis for the row space and column space of the matrix below (hint: Example: find a basis for the row space and column space of the matrix below. You can use this method for finding a basis for a vector space. Example: find a basis for the space spanned by the vectors below. 233 of text) find a subset of the vectors below that forms a basis for the space spanned by these vectors. Rank, nullity, and the fundamental matrix spaces (4. 8; pg. Note: if we have matrix a and its transpose at, there are 4 vectors spaces of interest: row space of a, column space of a, nullspace of a, nullspace of at.
