HP 48gII hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf - Page 357

 2 4 6 14  A aug =  3 − 2 1 − 3   4 2 −1 − 4 The matrix Aaug is the same as the original matrix A with a new row, corresponding to the elements of the vector b, added (i.e., augmented) to the right of the rightmost column of A. Once the augmented matrix is put together, we can proceed to perform row operations on it that will reduce the original A matrix into an upper-triangular matrix. For this exercise, we will use the RPN mode (H\@@OK@@), with system flag 117 set to SOFT menu. In your calculator, use the following keystrokes. First, enter the augmented matrix, and make an extra copy of the same in the stack (This step is not necessary, except as an insurance that you have an extra copy of the augmented matrix saved in case you make a mistake in the forward elimination procedure that we are about to undertake.): [[2,4,6,14],[3,-2,1,-3],[4,2,-1,-4]] `` Save augmented matrix in variable AAUG: ³~~aaug~ K With a copy of the augmented matrix in the stack, press „´ @MATRX! @ROW! to activate the ROW operation menu. Next, perform the following row operations on your augmented matrix. Multiply row 1 by ½: 2Y 1 @RCI! Multiply row 1 by -3 add it to row 2, replacing it: 3\ # 1 #2 @RCIJ! Multiply row 1 by -4 add it to row 3, replacing it: 4\#1#3@RCIJ! Multiply row 2 by -1/8: 8\Y2 @RCI! Multiply row 2 by 6 add it to row 3, replacing it: 6#2#3 @RCIJ! Page 11-31