Math Problem Statement
Jenis matriks tersebut adalah ... (What type of matrix is this?)
Solution
The image shows a quiz question about the classification of a matrix. The given matrix is:
1 & 0 \\ 2 & 0 \end{bmatrix}$$ The question asks: *"Jenis matriks tersebut adalah ..."* (What type of matrix is this?) ### Explanation: - **Matrix Nul (Zero Matrix):** A matrix where all elements are zero. This matrix is not a zero matrix. - **Matrix Identitas (Identity Matrix):** A square matrix with ones on the diagonal and zeros elsewhere. This matrix does not meet this criterion. - **Matrix Diagonal:** A square matrix where all off-diagonal elements are zero. This matrix has non-zero elements outside the diagonal, so it's not diagonal. - **Matrix Persegi (Square Matrix):** A matrix with the same number of rows and columns. This matrix is $$2 \times 2$$, so it is square. - **Matrix Persegi Panjang (Rectangular Matrix):** A matrix where the number of rows and columns are different. This matrix is not rectangular. ### Answer: The correct answer is **Matrix Persegi (Square Matrix)**. Would you like a detailed explanation about square matrices or related topics? ### Related Questions: 1. What are the properties of a square matrix? 2. How do you identify an identity matrix? 3. What are diagonal matrices, and where are they used? 4. What is the difference between rectangular and square matrices? 5. Can a matrix be both diagonal and identity? ### Tip: To classify matrices quickly, always check their dimensions and the arrangement of their non-zero elements.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Matrix Classification
Linear Algebra
Formulas
Matrix properties: dimensions and arrangement of elements
Theorems
Definition of square matrices
Suitable Grade Level
Grades 10-12
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