Linear Algebra and Its Applications · Problem 1.3.1

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · gaussian-elimination

Problem

What multiple ℓ\ell of equation 1 should be subtracted from equation 2? 2x+3y=110x+9y=11.\begin{aligned} 2x + 3y &= 1 \\ 10x + 9y &= 11. \end{aligned} After this elimination step, write down the upper triangular system and circle the two pivots. The numbers 1 and 11 have no influence on those pivots.

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