SOLUTION: Given A = 3 -2 0 1 4 2 -1 5 -3 find -3A. Thank you for your help

Algebra ->  Matrices-and-determiminant -> SOLUTION: Given A = 3 -2 0 1 4 2 -1 5 -3 find -3A. Thank you for your help       Log On


   

Question 94333: Given A =
3 -2 0
1 4 2
-1 5 -3
find -3A.
Thank you for your help

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
When you multiply a scalar value (any single number) by a matrix, you simply multiply that scalar value by every matrix entry.
So if you have the matrix
%28matrix%283%2C3%2C3%2C-2%2C0%2C1%2C4%2C2%2C-1%2C5%2C-3%29%29
and you want to multiply that matrix by the scalar value of -3, then you simply multiply -3 by every matrix entry like this:

which then comes to be
%28matrix%283%2C3%2C-9%2C6%2C0%2C-3%2C-12%2C-6%2C3%2C-15%2C9%29%29



So if A=%28matrix%283%2C3%2C3%2C-2%2C0%2C1%2C4%2C2%2C-1%2C5%2C-3%29%29,


then -3A=%28matrix%283%2C3%2C-9%2C6%2C0%2C-3%2C-12%2C-6%2C3%2C-15%2C9%29%29