Math Problem Statement
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Solution
Let's work through the questions from the image.
Question 1:
The matrix represents the price of basic necessities from 2021 to 2024 in the form of a matrix. Looking at the data from the table, the matrix should be structured as follows:
Beras Gula Minyak Goreng
2021 7900 8750 8500
2022 8300 9900 9700
2023 9400 10800 10000
2024 10600 10000 10600
Based on the available options, Option A is the correct answer since it matches the table.
Question 2:
The equation provided is:
To solve this, we can equate the corresponding elements in the two matrices:
-
From the first row, we have:
-
From the second row, we have:
Thus, c = 8, and the correct answer is C.
Question 3:
The matrix is given as:
We are asked to find the first row of (the transpose of ).
To find the transpose of a matrix, we swap rows with columns. Thus:
The first row of is , so the correct answer is A.
Let me know if you'd like further details on any of the solutions!
5 Related Questions:
- How can we find the determinant of a 3x3 matrix?
- What are the properties of matrix transposition?
- How do we multiply two matrices together?
- What is the inverse of a matrix, and how do we calculate it?
- How does the rank of a matrix affect its solutions in systems of equations?
Tip:
When dealing with matrices, always ensure that the dimensions are compatible for operations like multiplication and addition.
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Math Problem Analysis
Mathematical Concepts
Matrix Representation
Matrix Transposition
Matrix Equality
Formulas
Matrix transposition: A^T
Matrix equality: Equate corresponding elements
Matrix construction: Input elements in rows and columns
Theorems
Matrix Transposition
Matrix Equality
Suitable Grade Level
Grades 10-12