Chapter 6 - PowerPoint™ PPT file
... zeros in all remaining places in the column containing this 1. Step 3. Repeat step 1 with the submatrix formed by (mentally) deleting the row used in step 2 and all rows above this row. Step 4. Repeat step 2 with the entire matrix, including the mentally deleted rows. Continue this process until it ...
... zeros in all remaining places in the column containing this 1. Step 3. Repeat step 1 with the submatrix formed by (mentally) deleting the row used in step 2 and all rows above this row. Step 4. Repeat step 2 with the entire matrix, including the mentally deleted rows. Continue this process until it ...
Inverse of Elementary Matrix
... onto • For every b in Rn, the system Ax=b is consistent • The rank of A is n • The columns of A are linear independent One-to- • The only solution to Ax=0 is the zero vector one • The nullity of A is zero • The reduced row echelon form of A is In • A is a product of elementary matrices • There exist ...
... onto • For every b in Rn, the system Ax=b is consistent • The rank of A is n • The columns of A are linear independent One-to- • The only solution to Ax=0 is the zero vector one • The nullity of A is zero • The reduced row echelon form of A is In • A is a product of elementary matrices • There exist ...
