Question

consider the following.

c = 1, 6 , 8, 98 , 12, 2

f = 0, 2 , 74, 16 , 14, 6

use the matrices and perform the matrix addition. indicate if the operation is undefined. (if an answer is undefined, enter undefined into any cell of the matrix.)

c + f

Explanation:

Step1: Check matrix dimensions

Matrix \( C\) is \( 3\times2\) (3 rows and 2 columns), and matrix \( F\) is \( 3\times2\). Since the dimensions are the same, addition is defined.

Step2: Perform element - wise addition

For the element in the first row and first column: \(1 + 0=1\)
For the element in the first row and second column: \(6+2 = 8\)
For the element in the second row and first column: \(8 + 74=82\)
For the element in the second row and second column: \(98+16 = 114\)
For the element in the third row and first column: \(12+14 = 26\)
For the element in the third row and second column: \(2+6=8\)

Answer:

\(

$$\begin{bmatrix}1&8\\82&114\\26&8\end{bmatrix}$$

\)