Math Problem Statement
Nyatakan bilangan baris, bilangan lajur, dan peringkat matriks bagi setiap matriks yang diberikan dalam gambar.
Solution
The task appears to ask for details about the rows, columns, and dimensions of the given matrices. Let's analyze the matrices in the image:
Problem Breakdown:
i)
Matrix:
23 \\ 5 \end{bmatrix}$$ - **Rows**: 2 - **Columns**: 1 - **Matrix Type**: Column matrix (2x1) #### ii) Matrix: $$\begin{bmatrix} 2 & 1 & 4 \\ -2 & 6 & 5 \end{bmatrix}$$ - **Rows**: 2 - **Columns**: 3 - **Matrix Type**: Rectangular matrix (2x3) #### iii) Matrix: $$\begin{bmatrix} 7 & 5 \\ -1 & 35 \\ 8 & 1 \end{bmatrix}$$ - **Rows**: 3 - **Columns**: 2 - **Matrix Type**: Rectangular matrix (3x2) ### Summary of Answers: 1. For matrix (i): **2 rows, 1 column, 2x1 matrix** 2. For matrix (ii): **2 rows, 3 columns, 2x3 matrix** 3. For matrix (iii): **3 rows, 2 columns, 3x2 matrix** Would you like detailed explanations on the classification or operations related to these matrices? --- #### Expansion Questions: 1. What are the differences between square and rectangular matrices? 2. How do you determine the transpose of these matrices? 3. What is the significance of the row and column counts in matrix operations? 4. How can you find the determinant for square matrices (if the question is expanded)? 5. How can these matrices be applied to solve real-world problems? **Tip**: Always check the dimensions of matrices before performing operations like addition, subtraction, or multiplication.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Matrix Dimensions
Matrix Classification
Formulas
Matrix Dimensions: Rows × Columns
Theorems
Basic Matrix Theory
Suitable Grade Level
Grades 9-12