To solve the subtraction of two matrices, we will perform the subtraction element-wise. That means we subtract corresponding entries from each matrix. Here is the detailed step-by-step solution:
Given the matrices:
[tex]\[
\left[\begin{array}{lll}
-6 & 14 & 0
\end{array}\right]
\][/tex]
and
[tex]\[
\left[\begin{array}{lll}
5 & 4 & -2
\end{array}\right]
\][/tex]
We subtract each corresponding element from the first matrix with the second matrix:
1. Subtract the first elements:
[tex]\[
-6 - 5 = -11
\][/tex]
2. Subtract the second elements:
[tex]\[
14 - 4 = 10
\][/tex]
3. Subtract the third elements:
[tex]\[
0 - (-2) = 0 + 2 = 2
\][/tex]
So, performing the subtraction yields the result:
[tex]\[
\left[\begin{array}{lll}
-11 & 10 & 2
\end{array}\right]
\][/tex]
Therefore, the answer is:
[tex]\[
\boxed{-11}, \boxed{10}, \boxed{2}
\][/tex]
