سأعطيك صورة فيها اسإلة في mathématiques اعطني الأ...

問題

سأعطيك صورة فيها اسإلة في mathématiques
اعطني الأجوبة بشكل مختصر
حلل الصورة جيدا و اعطني الاجوبة الصحيحة
اعطني الجواب فقط

思考

Thought for a couple of seconds

回答

من فضلك أرفق الصورة هنا حتى أتمكن من تحليل الأسئلة الرياضية وتقديم الإجابات المختصرة الصحيحة.

問題

20250708_105156.jpg

Python

python
import sympy as sp

A=sp.Matrix([[1,0,2],[0,-1,1],[-2,0,0]])
A.inv()

Matrix([
[  0,  0, -1/2],
[1/2, -1,  1/4],
[1/2,  0,  1/4]])

Python

python
from PIL import Image
import matplotlib.pyplot as plt

img = Image.open('/mnt/data/20250708_105156.jpg')
# Crop rough right column region
w, h = img.size
crop = img.crop((w*0.66, h*0.02, w*0.99, h*0.48))
plt.imshow(crop)
plt.axis('off')

(-0.5, 1319.5, 1379.5, -0.5)

Python

python
crop = img.crop((w*0.66, h*0.48, w*0.99, h*0.9))
plt.imshow(crop); plt.axis('off')

(-0.5, 1319.5, 1259.5, -0.5)

思考

Clarifying matrix comparison

I'm comparing the B matrix from Q3 and Q9. They're not the same—Q3 has B as [2 1 3; 3 0 1; 3 -1 1], while Q9 has [2 1 3; 5 0 4; 3 -1 1]. Since B in Q9 is 3x3, I'll assume A and B are both 3x3. I need to figure out the missing entries for A. Next, I’ll check the chosen options for Q9, particularly focusing on the expression 5A - 2B from the image to confirm which answer matches.

Finalizing matrix calculation

Looking at the options for 5A - 2B, I can clearly compute the result. Starting with A = [1 0 2; 0 -1 1; 1 -2 0] and B = [2 1 3; 5 0 4; 3 -1 1], I calculate 5A, 2B, and subtract them. The result is [[1, -2, 4], [-10, -5, -3], [-1, -8, -2]], which shows that the correct answer is option E. Other options either don't match or provide incorrect results. So, the answer to Q9 is definitely E.

Thought for 1m 10s

回答

B
D
E
A
B
E
B
A
E
C

問題

思考

回答

問題

Python

Python

Python

思考

Clarifying matrix comparison

Finalizing matrix calculation

回答

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