Math Problem Statement
Solution
This image contains a set of matrix-related math problems. Let's go through one of them.
The first question is:
1. Perhatikan matriks berikut:
Which of the following statements is true?
A. Matrices is
B. Matrix is a rectangular matrix
C. Determinant of matrix
D. Matrix is a square matrix
E. Matrix is an upper triangular matrix
Solution:
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Matrix has dimensions because it has 2 rows and 3 columns. This eliminates options A and D because matrix A is not square.
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Matrix is a rectangular matrix, meaning it has more columns than rows, which makes option B correct.
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The determinant is not defined for a non-square matrix, eliminating option C.
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Matrix A cannot be upper triangular since it is not square, eliminating option E.
Conclusion:
The correct answer is B. Matrix A is a rectangular matrix.
Would you like me to explain more details or solve another problem from this sheet? Here are five questions related to this topic:
- What is the difference between square and rectangular matrices?
- How can we calculate the determinant of a square matrix?
- What are upper triangular and lower triangular matrices?
- Can a rectangular matrix be used in matrix multiplication?
- What conditions must be met for a matrix to be invertible?
Tip: For non-square matrices, operations like finding determinants and inverses are not defined!
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Math Problem Analysis
Mathematical Concepts
Matrices
Matrix Dimensions
Matrix Types
Formulas
Matrix dimensions: m x n
Determinant of a matrix
Upper triangular matrix
Theorems
Properties of rectangular matrices
Suitable Grade Level
Grades 10-12