Option D:
The dimensions of the matrices don't align properly to find their sum.
Solution:
Given data:
[tex]\left[\begin{array}{c}3 \\-2\end{array}\right]+\left[\begin{array}{cc}5 & -3 \\1 & 4\end{array}\right][/tex]
Dimension of matrix = Number of rows × Number of columns
Dimension of matrix [tex]\left[\begin{array}{c}3 \\-2\end{array}\right][/tex] is 2 × 1
Dimension of matrix [tex]\left[\begin{array}{cc}5 & -3 \\1 & 4\end{array}\right][/tex] is 2 × 2
Here, we have to add the two matrices.
The dimension of the matrices must be same to add or subtract matrices.
Here the dimensions are 2 × 1 and 2 × 2.
The dimensions are not same.
Hence we can't find their sum.
Option D is the correct answer.
The dimensions of the matrices don't align properly to find their sum.
