### Problem StatementGiven 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 Arraysa. \( B = \begin{bmatrix} -5 & 10 \\ 6 & 8 \end{bmatrix} \)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)

Answered: Given the array…

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

Problem 1PE

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Concept explainers

Randomized Select Algorithm

A randomized algorithm is defined as one that uses a certain amount of randomization in its logic or operation. It is said to be an algorithm that depends on the random number to perform its operation. It is used for reducing the overall time complexity, space complexity in the standard algorithm. The randomized algorithm uses the concept of random numbers to find the solutions to the different kinds of problems and also to improve the problem solutions.

Question

### 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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