Math Problem Statement

Diketahui matriks A = [[3, -1, -2], [0, 5, 3]]. Tentukan ordo, elemen-elemen matriks, dan jenis matriks!

Solution

The document you uploaded contains mathematical exercises focusing on matrices. Let's tackle each question from Section II, which is about matrix operations:

II. Multiple Choice Questions

Given matrix A=[312053]A = \begin{bmatrix} 3 & -1 & -2 \\ 0 & 5 & 3 \end{bmatrix}

1. Order of matrix AA is:

The matrix has 2 rows and 3 columns.

  • Correct Answer: B. 2 x 3

2. The second row of matrix AA is:

It is the second row of the matrix AA, given as [0,5,3][0, 5, 3].

  • Correct Answer: D. 0, 5, 3

3. The third column of matrix AA is:

It is the third column of the matrix AA, given as [2,3][-2, 3].

  • Correct Answer: A. -2, 3

4. The element from the second row and first column of matrix AA is:

It is the element at the intersection of the second row and first column, which is 00.

  • Correct Answer: A. 0

5. The element from the third row and third column of matrix AA is:

This matrix does not have a third row, so it's a trick question. The given matrix AA only has two rows.

  • Correct Answer: C. 0 (Assuming the question asks about a non-existent element which should be taken as zero in some contexts, though this might vary based on conventions used.)

Let me know if you have any specific question about these solutions or any other matrix related question you have! Here are some related questions you might consider:

  1. How do you determine the transpose of matrix AA?
  2. Can you find the determinant of matrix AA? (Note: Determinants are only for square matrices)
  3. What are the possible operations you can perform on rows of a matrix?
  4. What is the importance of the number of rows and columns in a matrix in real-world applications?
  5. How would you multiply matrix AA with another matrix BB?

Tip: Always ensure the matrix operations you intend to perform are valid given the dimensions of the matrices involved.

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Math Problem Analysis

Mathematical Concepts

Matrices
Matrix Operations
Matrix Elements

Formulas

Order of a matrix: rows x columns
Identifying matrix elements by row and column

Theorems

Matrix Element Extraction

Suitable Grade Level

Grade 11