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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §11.5 Linear Algebra, #33 · Linear Algebra · Matrices

Note: If elimination creates a zero in the "pivot position," try to…

Eliminate $x$ from equation 2 by using equation 1:

$x + 2 y + 2 z = 0$

$2 x + 4 y + 5 z = 0$

$2 y + 2 z = 8.$

Why can't the new second equation eliminate $y$ from the third equation? Is there a solution or is the system singular?

Note: If elimination creates a zero in the "pivot position," try to exchange that pivot equation with an equation below it. Elimination succeeds when there is a full set of pivots.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §11.5 Linear Algebra, #33

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**Note:** If elimination creates a zero in the "pivot position," try to…

Note: If elimination creates a zero in the "pivot position," try to…