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Pivot with Row Operations
This tutorial will show you how to pivot a matrix about a certain entry with row operations.
You can think of it as a manual alternative to the automatic pivot program explained here.
This tutorial will show you how to pivot a matrix about a certain entry with row operations.
You can think of it as a manual alternative to the automatic pivot program explained here.
| What to Enter | Screen Shots |
| Let’s say you have a 3x3 matrix like the one on the right. Suppose that you want to pivot this matrix about 4. |
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There are two steps involved in the process: [1] Turn the 4 into a leading 1. [2] Zero out the remaining entries in the column containing the 4. The necessary row operations are listed on the right. |
(1/4)*R2 (–1)*R2 + R1 → R1 (–7)*R2 + R3 → R3 |
| (1/4)*R2 is done by *row(multiplier, [matrix], row) Then, use the STO> key to store the result in matrix B. The next row operation is done on this B. |
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| (–1)*R2 + R1 → R1 done by *row+(multiplier, [matrix], row_to_multiply, row_to_add) Then, use the STO> key to store the result in matrix C. The next row operation is done on this C. |
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(–7)*R2 + R3 → R3 is done by |
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| Finally, use MATH > FRAC. Done. |  |
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Disclaimer • Updated September 4, 2008
Email: mitsuma@kutztown.edu
Phone: +1 (610) 462-WPJW
Phone: +1 (610) 462-WPJW