The answer is not defined.
Step-by-step explanation:
The given matrix is 
![$\left[\begin{array}{cc}{2} & {4} \\ {1} & {-6}\end{array}\right]+\left[\begin{array}{c}{1} \\ {0}\end{array}\right]$](https://img.qammunity.org/2021/formulas/mathematics/high-school/ebjcyupkgtv9eqyj6dbo5hny4dolwejcdg.png)
The matrix 
![$\left[\begin{array}{cc}{2} & {4} \\ {1} & {-6}\end{array}\right]$](https://img.qammunity.org/2021/formulas/mathematics/high-school/az2el2yj3kzd8u25a461snoyphor7le1et.png) has dimensions
 has dimensions 

This means that the matrix has 2 rows and 2 columns.
Also, the matrix 
![$\left[\begin{array}{l}{1} \\ {0}\end{array}\right]$](https://img.qammunity.org/2021/formulas/mathematics/high-school/5865ifbxva19fvy7610z2v5wl5k15fgqv3.png) has dimensions
 has dimensions 

This means that the matrix has 2 rows and 1 column.
Since, the matrices can be added only if they have the same dimensions.
In other words, to add the matrices, the two matrices must have the same number of rows and same number of columns.
Since, the dimensions of the two matrices are not equal, the addition of these two matrices is not possible.
Hence, the addition of these two matrices is not defined.