SOLUTION: Determinants: Let M = ( 𝑎 𝑐 𝑏 𝑑 ) is a 2x2 matrix. a. For which values of det M does M have an inverse? b. Write down all 2x2 bit matrices with determinant 1. (R

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Determinants: Let M = ( 𝑎 𝑐 𝑏 𝑑 ) is a 2x2 matrix. a. For which values of det M does M have an inverse? b. Write down all 2x2 bit matrices with determinant 1. (R      Log On


   

Question 1161623: Determinants: Let M = (
𝑎
𝑐
𝑏
𝑑
) is a 2x2 matrix.
a. For which values of det M does M have an inverse?
b. Write down all 2x2 bit matrices with determinant 1. (Remember bits are either 0
or 1 and 1+1 = 0 in bits)
c. Write down 2x2 bit matrices with determinant 0
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

Regarding (a), the answer is det (M) =/= 0.


Regarding (b), if you post me at least two such matrices for the task (b), 
I promise you to post you all the other such matrices, in response.