Solving a Question on Abstract Algebra - Help Needed

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The discussion centers on a question regarding abstract algebra, specifically involving matrices and their interpretations. The user presents a matrix notation with unclear variables, particularly "c," and seeks clarification on its meaning. The matrices discussed include [1 1; 1 0] and [0 1; 1 0], with the determinant of the first matrix calculated as -1. The user also questions the expression "find 2(6)," interpreting it as 12, indicating a need for clearer definitions of the symbols used.

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need a help can't seem to figure out this one

let 6 = (2,R)

a. Find c [1 1]
[1 0 ]
b. c [o 1]
[1 0]

c find 2(6)
 
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kateng33 said:
need a help can't seem to figure out this one

let 6 = (2,R)
I have no idea what this means. "6" is a number. You can't "let" it be anything else!

a. Find c [1 1]
[1 0 ]
Okay, the matrix is
[tex]\begin{bmatrix}1 & 1 \\ 1 & 0\end{bmatrix}[/tex]
but what does "c" mean? The column space? That is just the space spanned by the columns as vectors, <1 1> and <1 0> which is all of R2. Surely, that is not what you mean. If it were "d" instead of "c", I might guess "determinant", which is normally abbreviated "det". That is, of course, -1.

b. c [o 1]
[1 0]
Now the matrix is
[tex]\begin{bmatrix}0 & 1 \\ 1 & 0\end{bmatrix}[/tex]
but I still don't know what "c" means.

c find 2(6)
12? Surely that is not what you mean! Please explain your symbols.
 
okay thanks
 

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