Question

Determine the value of the following if it is possible. If it is not possible, explain.

Answer 1

Option D:

The dimensions of the matrices don't align properly to find their sum.

Solution:

Given data:

$\left[\begin{array}{c}3 \\-2\end{array}\right]+\left[\begin{array}{cc}5 & -3 \\1 & 4\end{array}\right]$

Dimension of matrix = Number of rows × Number of columns

Dimension of matrix $\left[\begin{array}{c}3 \\-2\end{array}\right]$ is 2 × 1

Dimension of matrix $\left[\begin{array}{cc}5 & -3 \\1 & 4\end{array}\right]$ 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.