Question

prove this (linear algebra):

new jth column is added to other columns in the matrix... attached file

Answer 1

i was wondering if it meant all columns are added to the jth column or is it just one particular column say the ith column?

Answer 2

i would be able to do it if the ith column was just added, but i'm not sure how you would do it if all columns were added to the jth column

Answer 3

it is a linear combination of all other columns that is added to it.

linear combo is Ac1 + Bc2 + Cc3 + ... whehere A, B and C are undetermined coefficients

Answer 4

where j>i and j<i ?

Answer 5

ya. where j =/= i making it a combo of all columns except j

Answer 6

hmm.

Answer 7

i first let