Given the array A=[3,7,-4,12;-5,9,10,2;6,13,8,11;15,5,4,1], what instruction is needed to create the following array from A, a. B=[-5,10;6,8] b. C=[3;-5;6]

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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### Problem Statement

Given the array `A = [3, 7, -4, 12; -5, 9, 10, 2; 6, 13, 8, 11; 15, 5, 4, 1]`, what instruction is needed to create the following arrays from A?

### Required Arrays

a. \( B = \begin{bmatrix} -5 & 10 \\ 6 & 8 \end{bmatrix} \)

b. \( C = \begin{bmatrix} 3 & -5 \\ 6 & 15 \end{bmatrix} \)

### Explanation

#### Array A:
Array A is a 4x4 matrix:

\[
A = \begin{bmatrix}
3 & 7 & -4 & 12 \\
-5 & 9 & 10 & 2 \\
6 & 13 & 8 & 11 \\
15 & 5 & 4 & 1
\end{bmatrix}
\]

#### To create Array B:

\[
B = \begin{bmatrix}
-5 & 10 \\
6 & 8
\end{bmatrix}
\]

**Instruction:**
- Extract the submatrix from positions (2,1) to (3,3) in A:
  - `A(2:3, 1:2)`

#### To create Array C:

\[
C = \begin{bmatrix}
3 & -5 \\
6 & 15
\end{bmatrix}
\]

**Instruction:**
- Extract elements from positions (1,1), (2,1), (3,1), and (4,1) of A:
  - `A([1 2 3 4], 1)` (reshape to 2x2 matrix if necessary)
Transcribed Image Text:### Problem Statement Given the array `A = [3, 7, -4, 12; -5, 9, 10, 2; 6, 13, 8, 11; 15, 5, 4, 1]`, what instruction is needed to create the following arrays from A? ### Required Arrays a. \( B = \begin{bmatrix} -5 & 10 \\ 6 & 8 \end{bmatrix} \) b. \( C = \begin{bmatrix} 3 & -5 \\ 6 & 15 \end{bmatrix} \) ### Explanation #### Array A: Array A is a 4x4 matrix: \[ A = \begin{bmatrix} 3 & 7 & -4 & 12 \\ -5 & 9 & 10 & 2 \\ 6 & 13 & 8 & 11 \\ 15 & 5 & 4 & 1 \end{bmatrix} \] #### To create Array B: \[ B = \begin{bmatrix} -5 & 10 \\ 6 & 8 \end{bmatrix} \] **Instruction:** - Extract the submatrix from positions (2,1) to (3,3) in A: - `A(2:3, 1:2)` #### To create Array C: \[ C = \begin{bmatrix} 3 & -5 \\ 6 & 15 \end{bmatrix} \] **Instruction:** - Extract elements from positions (1,1), (2,1), (3,1), and (4,1) of A: - `A([1 2 3 4], 1)` (reshape to 2x2 matrix if necessary)
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