RowScale
Returns a matrix with one of its rows scaled.
Syntax
-
RowScale(A, i, k)-
Ais a matrix -
iis a positive integer -
kis a real number
-
Description
If A is a matrix, i a valid row index in A, and k a real number, then RowScale(A, i, k) returns A with its ith row multiplied by k.
This is an elementary row operation.
Examples
A ≔ ❨❨5, 1, 2, 3, 4❩, ❨4, 0, 2, 1, 7❩, ❨6, 3, 0, 4, 7❩, ❨4, 5, 2, 3, 9❩, ❨4, 0, 1, 2, 5❩❩
⎛5 1 2 3 4⎞ ⎜4 0 2 1 7⎟ ⎜6 3 0 4 7⎟ ⎜4 5 2 3 9⎟ ⎝4 0 1 2 5⎠
RowScale(A, 2, −1)
⎛ 5 1 2 3 4⎞ ⎜−4 0 −2 −1 −7⎟ ⎜ 6 3 0 4 7⎟ ⎜ 4 5 2 3 9⎟ ⎝ 4 0 1 2 5⎠