4.1 Create the following matrices, and use them in the exercises that follow: [15 3 22] 3 8 5 b= |5 12 18 5 2 a = C = | 14 3 82 6 a. Create a matrix called d from the third column of matrix a. b. Combine matrix b and matrix d to create matrix e, a two-dimensional matrix with three rows and two columns. c. Combine matrix b and matrix d to create matrix f, a one-dimensional matrix with six rows and one column. d. Create a matrix g from matrix a and the first three elements of matrix C, with four rows and three columns. e. Create a matrix h with the first element equal to d1,3, the second element equal b2,1 to C1,2, and the third element equal to

Computer Networking: A Top-Down Approach (7th Edition)
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## Matrix Operations and Exercises

### Create the following matrices and use them in the exercises that follow:

#### Matrices:
- **Matrix a**: 
  \[
  \begin{bmatrix}
  15 & 3 & 22 \\
  3 & 8 & 5 \\
  14 & 3 & 82
  \end{bmatrix}
  \]

- **Matrix b**: 
  \[
  \begin{bmatrix}
  1 \\
  5 \\
  6
  \end{bmatrix}
  \]

- **Matrix c**: 
  \[
  \begin{bmatrix}
  12 & 18 & 5 & 2
  \end{bmatrix}
  \]

### Exercises:
a. Create a matrix called **d** from the third column of matrix **a**.

b. Combine matrix **b** and matrix **d** to create matrix **e**, a two-dimensional matrix with three rows and two columns.

c. Combine matrix **b** and matrix **d** to create matrix **f**, a one-dimensional matrix with six rows and one column.

d. Create a matrix **g** from matrix **a** and the first three elements of matrix **c**, with four rows and three columns.

e. Create a matrix **h** with the first element equal to \(a_{1,3}\), the second element equal to \(c_{1,2}\), and the third element equal to \(b_{2,1}\).
Transcribed Image Text:## Matrix Operations and Exercises ### Create the following matrices and use them in the exercises that follow: #### Matrices: - **Matrix a**: \[ \begin{bmatrix} 15 & 3 & 22 \\ 3 & 8 & 5 \\ 14 & 3 & 82 \end{bmatrix} \] - **Matrix b**: \[ \begin{bmatrix} 1 \\ 5 \\ 6 \end{bmatrix} \] - **Matrix c**: \[ \begin{bmatrix} 12 & 18 & 5 & 2 \end{bmatrix} \] ### Exercises: a. Create a matrix called **d** from the third column of matrix **a**. b. Combine matrix **b** and matrix **d** to create matrix **e**, a two-dimensional matrix with three rows and two columns. c. Combine matrix **b** and matrix **d** to create matrix **f**, a one-dimensional matrix with six rows and one column. d. Create a matrix **g** from matrix **a** and the first three elements of matrix **c**, with four rows and three columns. e. Create a matrix **h** with the first element equal to \(a_{1,3}\), the second element equal to \(c_{1,2}\), and the third element equal to \(b_{2,1}\).
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