Linear Algebra and Its Applications · Problem 1.4.9

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · matrix-notation-and-multiplication

Problem

If the entries of

A

are

a_{ij}

, use subscript notation to write (a) the first pivot. (b) the multiplier

\ell_{i1}

of row 1 to be subtracted from row

i

. (c) the new entry that replaces

a_{ij}

after that subtraction. (d) the second pivot.