Math Problem Statement
Diketahui Matriks A: A = [5 2 -1; 3 -2 1; 4 -5 2], tentukan: a) Nama Matriks, b) Ordo Matriks, c) Elemen pada baris 2 kolom 3, d) Elemen pada baris 1 kolom 2.
Solution
The problem provides a matrix , and asks for several characteristics about the matrix.
Given Matrix :
5 & 2 & -1 \\ 3 & -2 & 1 \\ 4 & -5 & 2 \end{pmatrix}$$ The tasks are as follows: ### a. Name of the Matrix The matrix is named **Matrix A**, which is already given in the problem. ### b. Ordo (Order) of the Matrix The order of a matrix is defined by the number of rows and columns. Matrix $$A$$ has 3 rows and 3 columns, so the order is: $$\text{Ordo of Matrix A} = 3 \times 3$$ ### c. Element in Row 2, Column 3 To find the element at the second row and third column, locate the element in the second row and third column of the matrix: $$\text{Element at Row 2, Column 3} = 1$$ ### d. Element in Row 1, Column 2 To find the element at the first row and second column, locate the element in the first row and second column of the matrix: $$\text{Element at Row 1, Column 2} = 2$$ --- Would you like further explanation or details on any of these points? Here are five related questions that could expand your understanding: 1. How do you determine the order of a matrix with different rows and columns? 2. How do you extract specific elements from a matrix? 3. What is the difference between a row matrix and a column matrix? 4. What is the main diagonal of a square matrix, and how is it significant? 5. How can you determine if a matrix is symmetric? **Tip:** When working with matrices, always label your rows and columns to avoid confusion when referencing specific elements!Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Matrices
Matrix order
Matrix element extraction
Formulas
Matrix order: m x n (where m is rows and n is columns)
Theorems
Matrix representation
Suitable Grade Level
Grades 9-12