Math Problem Statement

Determine the order of matrix A given in the image.

Solution

The matrix AA shown in the image is:

46 & 14 \\ 33 & 20 \\ -28 & -49 \\ -1 & 19 \\ 17 & 15 \end{pmatrix}$$ To determine the order (or size) of a matrix, we look at the number of rows and columns. - The matrix has **5 rows** and **2 columns**. Thus, the order of matrix $$A$$ is **5 × 2**. Would you like more details on matrix operations or how to find orders of matrices? Here are 5 related questions: 1. How do you determine if two matrices can be multiplied? 2. What is the difference between a square matrix and a rectangular matrix? 3. How do you find the transpose of a matrix? 4. How is the determinant of a matrix computed? 5. What is the role of identity matrices in matrix multiplication? **Tip:** When multiplying matrices, the number of columns in the first matrix must equal the number of rows in the second matrix.

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Matrix Order

Formulas

Order of matrix: number of rows × number of columns

Theorems

-

Suitable Grade Level

Grades 9-12