| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. 2 × 5 When multiplying two matrices, the number of columns in the first matrix (A) must be equal to the number of rows in the second matrix (B). In this case, matrix A has 7 columns and matrix B has 7 rows, so they can be multiplied. The resulting product matrix AB will have the same number of rows as matrix A (2) and the same number of columns as matrix B (5). Therefore, the dimensions of the product matrix AB are 2 × 5. |
B |
| deepseekr1 | The product of two matrices A (2×7) and B (7×5) is determined by the rule that the number of columns in the first matrix must equal the number of rows in the second. Here, A has 7 columns and B has 7 rows, so multiplication is possible. The resulting matrix AB will have the same number of rows as A (2) and the same number of columns as B (5), leading to dimensions **2×5**. Answer: B |
B |
| gpto1 | B | B |
| GPT-4o | B. 2 × 5 | B |
| llama3.1-70B-Instruct | B |
B |
| llama3.1-405B-Instruct | B. 2 × 5 When multiplying two matrices, the number of columns in the first matrix (A) must be equal to the number of rows in the second matrix (B). In this case, matrix A has 7 columns and matrix B has 7 rows, so they can be multiplied. The dimensions of the product matrix AB are determined by the number of rows in the first matrix (A) and the number of columns in the second matrix (B). In this case, matrix A has 2 rows and matrix B has 5 columns, so the product matrix AB will have dimensions 2 × 5. |
B |
| DeepSeek-Coder-V2 | B. 2 × 5 | B |
| Qwen2-72B-Instruct | B. 2 × 5 | B |
| baichuan4 | B. 2 × 5 | B |
| doubao | B. 2 × 5. When multiplying matrices, the number of columns of the first matrix must equal the number of rows of the second matrix, and the resulting product matrix will have the number of rows of the first matrix and the number of columns of the second matrix. So a 2 × 7 matrix multiplied by a 7 × 5 matrix results in a 2 × 5 matrix. | B |
| minimax | B. 2 × 5 | B |
| kimi | B. 2 × 5 | B |
| wenxinyiyan | B. 2 × 5 Explanation: When multiplying two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix. The resulting matrix will have the same number of rows as the first matrix and the same number of columns as the second matrix. In this case, matrix A has dimensions 2 × 7 and matrix B has dimensions 7 × 5. Since the number of columns in A (7) equals the number of rows in B (7), we can multiply these matrices. The resulting matrix AB will have 2 rows (from matrix A) and 5 columns (from matrix B), so its dimensions are 2 × 5. |
B |
| zhipu | The dimensions of the product of two matrices \( A \) and \( B \) are determined by the number of rows in matrix \( A \) and the number of columns in matrix \( B \). Given that matrix \( A \) has dimensions \( 2 \times 7 \) and matrix \( B \) has dimensions \( 7 \times 5 \), the resulting product matrix \( AB \) will have dimensions \( 2 \times 5 \). Therefore, the correct answer is: B. 2 × 5 |
B |
| gpto1 | B | B |
| deepseekv3 | To determine the dimensions of the product matrix \( AB \), we use the rule for matrix multiplication: if matrix \( A \) has dimensions \( m \times n \) and matrix \( B \) has dimensions \( n \times p \), then the product \( AB \) will have dimensions \( m \times p \). Given: - Matrix \( A \) has dimensions \( 2 \times 7 \). - Matrix \( B \) has dimensions \( 7 \times 5 \). Applying the rule: \( m = 2 \), \( n = 7 \), and \( p = 5 \). Therefore, the product matrix \( AB \) will have dimensions \( 2 \times 5 \). **Answer:** B. 2 × 5 |
B |