Math Problem Statement

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Tentukan elemen baris ke-1 kolom ke-2 dan elemen baris ke-3 kolom ke-3 dari matriks B.

Solution

The image shows a matrix BB and two questions regarding its elements. Let’s break down the solution step by step.

Matrix BB:

2 & 7 & 8 \\ 3 & 12 & 15 \\ 9 & 7 & 8 \end{pmatrix}$$ #### Questions: 1. **Elemen baris ke-1 kolom ke-2** (Element in row 1, column 2): To find the element at row 1 and column 2, we look at the first row and second column: $$\text{Element } B_{1,2} = 7$$ 2. **Elemen baris ke-3 kolom ke-3** (Element in row 3, column 3): To find the element at row 3 and column 3, we look at the third row and third column: $$\text{Element } B_{3,3} = 8$$ ### Final Answers: 1. The element in row 1, column 2 is **7**. 2. The element in row 3, column 3 is **8**. Do you want further details or have any other questions? Here are some related questions: 1. What is the element in row 2, column 1 of matrix $$B$$? 2. What is the sum of the elements in the first row of matrix $$B$$? 3. Can you calculate the determinant of matrix $$B$$ (if it is a square matrix)? 4. What is the transpose of matrix $$B$$? 5. Can you calculate the trace of matrix $$B$$ (the sum of diagonal elements)? **Tip**: In matrices, the element at position $$(i, j)$$ is located in the $$i$$-th row and $$j$$-th column, so the first number refers to the row and the second to the column.

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Math Problem Analysis

Mathematical Concepts

Matrix
Matrix Element Positioning

Formulas

Element B_{i,j} is found at the intersection of row i and column j in matrix B.

Theorems

Matrix element notation

Suitable Grade Level

Grades 7-9