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Chapter 2: Problem 1

Answer the following questions for the array shown below. $$ \text { array } 1=\left[\begin{array}{rrrrr} 1.1 & 0.0 & 2.1 & -3.5 & 6.0 \\ 0.0 & 1.1 & -6.6 & 2.8 & 3.4 \\ 2.1 & 0.1 & 0.3 & -0.4 & 1.3 \\ -1.4 & 5.1 & 0.0 & 1.1 & 0.0 \end{array}\right] $$ a. What is the size of array2? b. What is the value of array \(1(4,2)\) ? c. What is the size and value of array \(1(:, 2: 2)\) ? d. What is the size and value of array \(1([13]\), end) ?

Short Answer

Expert verified
a. Size of array1: 4 x 5 b. Value of array \(1(4,2)\): 5.1 c. Size of array \(1(:, 2: 2)\): 4 x 1; Value of array \(1(:, 2: 2)\): \[ \left[\begin{array}{r} 0.0 \\ 1.1 \\ 0.1 \\ 5.1 \end{array}\right] \] d. Size of array \(1([1 3], \text{end})\): 2 x 1; Value of array \(1([1 3], \text{end})\): \[ \left[\begin{array}{r} 6.0 \\ 1.3 \end{array}\right] \]

Step by step solution

01

Part (a): Finding the size of the array1

To find the size of an array, we need to count the number of rows and the number of columns. In this case, we can see that array1 has 4 rows and 5 columns. So the size of array1 is: Size of array1: 4 x 5
02

Part (b): Finding the value of array \(1(4,2)\)

To find the value of array \(1(4,2)\), we need to look at the element in the 4th row and the 2nd column of array1. The element at this position is 5.1. So: Value of array \(1(4,2)\): 5.1
03

Part (c): Finding the size and value of array \(1(:, 2: 2)\)

To find the size and value of array \(1(:, 2: 2)\), we need to understand colon notation. Colon means all elements along that dimension. In this case, we want all rows but only the 2nd column. The array we are looking for will have the following elements: $$ \left[\begin{array}{r} 0.0 \\ 1.1 \\ 0.1 \\ 5.1 \end{array}\right] $$ Size of array \(1(:, 2: 2)\): 4 x 1 Value of array \(1(:, 2: 2)\): $$ \left[\begin{array}{r} 0.0 \\ 1.1 \\ 0.1 \\ 5.1 \end{array}\right] $$
04

Part (d): Finding the size and value of array \(1([1 3], \text{end})\)

To find the array \(1([1 3], \text{end})\), first, we need to understand brackets and the 'end' notation. Brackets specify the indices of the rows we want to extract, and 'end' means the last column of the array. In this case, we want the 1st and 3rd rows and the last column (5th column). The sub-array will have the following elements: $$ \left[\begin{array}{r} 6.0 \\ 1.3 \end{array}\right] $$ Size of array \(1([1 3], \text{end})\): 2 x 1 Value of array \(1([1 3], \text{end})\): $$ \left[\begin{array}{r} 6.0 \\ 1.3 \end{array}\right] $$

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Most popular questions from this chapter

Solve the following system of simultaneous equations for \(x\). \(\begin{aligned}-2.0 x_{1}+5.0 x_{2}+1.0 x_{3}+3.0 x_{4}+4.0 x_{5}-1.0 x_{6}=0.0 \\ 2.0 x_{1}-1.0 x_{2}-5.0 x_{3}-2.0 x_{4}+6.0 x_{5}+4.0 x_{6}=& 1.0 \\\\-1.0 x_{1}+6.0 x_{2}-4.0 x_{3}-5.0 x_{4}+3.0 x_{5}-1.0 x_{6}=&-6.0 \\\ 4.0 x_{1}+3.0 x_{2}-6.0 x_{3}-5.0 x_{4}-2.0 x_{5}-2.0 x_{6}=10.0 \\\\-3.0 x_{1}+6.0 x_{2}+4.0 x_{3}+2.0 x_{4}-6.0 x_{5}+4.0 x_{6}=&-6.0 \\ 2.0 x_{1}+4.0 x_{2}+4.0 x_{3}+4.0 x_{4}+5.0 x_{5}-4.0 x_{6}=&-2.0 \end{aligned}\)

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