https://file.aiquickdraw.com/mathbot/file/172894028703216gfw2pw.jpg

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:**

\[
A = \begin{pmatrix} 1 & 4 & -7 \\ 2 & 0 & 5 \end{pmatrix}
\]

Which of the following statements is true?

A. Matrices \( A \) is \( 3 \times 4 \)

B. Matrix \( A \) is a rectangular matrix

C. Determinant of matrix \( A = 0 \)

D. Matrix \( A \) is a square matrix

E. Matrix \( A \) is an upper triangular matrix

### Solution:

1. Matrix \( A \) has dimensions \( 2 \times 3 \) because it has 2 rows and 3 columns. This eliminates options A and D because matrix A is not square.

2. Matrix \( A \) is a rectangular matrix, meaning it has more columns than rows, which makes option B correct.

3. The determinant is not defined for a non-square matrix, eliminating option C.

4. 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:

1. What is the difference between square and rectangular matrices?
2. How can we calculate the determinant of a square matrix?
3. What are upper triangular and lower triangular matrices?
4. Can a rectangular matrix be used in matrix multiplication?
5. 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!

Perhatikan matriks berikut: A = [1 4 -7; 2 0 5]. Which statement is true? A. Matrices A is 3x4 B. Matrix A is rectangular C. Determinant of matrix A = 0 D. Matrix A is square E. Matrix A is upper triangular

Learn about the properties of matrices with a focus on rectangular matrices. Understand how to determine the dimensions of a matrix, the types of matrices, and the properties that define them. Suitable for high school students in Grades 10-12.

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