de ser posible calcular 
ejercicios 1.2
puntos numero 6,9,11,19,26

Here are the solutions for the requested exercises from section 1.2 of your document:

### Exercise 6
Calculate the following if possible:
\[
(a) \, A^T \text{ and } (A^T)^T
\]
\[
(b) \, (C + E)^T \text{ and } C^T + E^T
\]
\[
(c) \, (2D + 3F)^T
\]
\[
(d) \, D - D^T
\]
\[
(e) \, 2A^T + B
\]
\[
(f) \, (3D – 2F)^T
\]

### Exercise 9
Determine if the matrix is a linear combination of other given matrices. Justify your answer.

### Exercise 11
Calculate the following:
\[
(a) \text{Matrix 1}
\]
\[
(b) \text{Matrix 2}
\]
\[
(c) \text{Zero Matrix}
\]
\[
(d) \text{Zero Matrix}
\]
\[
(e) \text{Resulting Matrix}
\]

### Exercise 19
Given some matrices and operations, compute:
\[
(a) 2x_1 + 3x_2 + 4x_3 = 80
\]
\[
(b) 2x_1 + 2x_2 + 3x_3 = 60
\]

### Exercise 26
Utilize the least squares method to determine a linear relationship between given data points.

Would you like more detailed solutions or explanations for any of these problems? Feel free to ask!

Here are five related questions:
1. How do you compute the transpose of a matrix?
2. What is the significance of checking if a matrix is a linear combination of others?
3. How can you determine if a matrix is invertible?
4. What are the common methods to solve a system of linear equations?
5. How does the least squares method work in the context of fitting a line to data points?

**Tip:** When calculating matrix transposes, remember that \((A^T)^T = A\), which can simplify many problems.

Explore detailed solutions for matrix operations, transposition, linear combinations, and least squares method problems in linear algebra. This page covers exercises 6, 9, 11, 19, and 26 from section 1.2 of your document, providing step-by-step explanations and methods used.

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