SOLUTION: A. Create matrix A such that a11=4, a12=6, a21=0, and a22=-1. B. What is the additive inverse of A? p.s. a11= an a with the 11 written like the opposite of a^11

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: A. Create matrix A such that a11=4, a12=6, a21=0, and a22=-1. B. What is the additive inverse of A? p.s. a11= an a with the 11 written like the opposite of a^11      Log On


   

Question 160416This question is from textbook saxon algebra 2
: A. Create matrix A such that a11=4, a12=6, a21=0, and a22=-1.
B. What is the additive inverse of A?
p.s. a11= an a with the 11 written like the opposite of a^11 This question is from textbook saxon algebra 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A) Since matrix A is A=%28matrix%282%2C2%2Ca%5B11%5D%2Ca%5B12%5D%2Ca%5B21%5D%2Ca%5B22%5D%29%29, this means that

A=%28matrix%282%2C2%2C4%2C6%2C0%2C-1%29%29


B) The additive inverse of matrix A (let's call matrix B) will have elements that are additive inverses of the elements of matrix A. So the matrix is

B=%28matrix%282%2C2%2C-4%2C-6%2C0%2C1%29%29


Note: simply change the signs of each element in matrix A to get matrix B.


Notice how which is the zero matrix. So this confirms our answer.