إدخال مسألة...
الجبر الخطي الأمثلة
[3-276321-212814-49-7]⎡⎢⎣3−276321−212814−49−7⎤⎥⎦
خطوة 1
خطوة 1.1
Multiply each element of R1R1 by 1313 to make the entry at 1,11,1 a 11.
[33-237363321-212814-49-7]⎡⎢
⎢⎣33−237363321−212814−49−7⎤⎥
⎥⎦
خطوة 1.2
بسّط R1R1.
[1-23732121-212814-49-7]⎡⎢
⎢⎣1−23732121−212814−49−7⎤⎥
⎥⎦
[1-23732121-212814-49-7]⎡⎢
⎢⎣1−23732121−212814−49−7⎤⎥
⎥⎦
خطوة 2
خطوة 2.1
Perform the row operation R2=R2-2R1R2=R2−2R1 to make the entry at 2,12,1 a 00.
[1-2373212-2⋅11-2(-23)-21-2(73)28-2⋅2114-49-7]⎡⎢
⎢
⎢⎣1−2373212−2⋅11−2(−23)−21−2(73)28−2⋅2114−49−7⎤⎥
⎥
⎥⎦
خطوة 2.2
بسّط R2.
[1-237321073-773-1414-49-7]
[1-237321073-773-1414-49-7]
خطوة 3
خطوة 3.1
Perform the row operation R3=R3-R1 to make the entry at 3,1 a 0.
[1-237321073-773-141-14+23-49-73-7-21]
خطوة 3.2
بسّط R3.
[1-237321073-773-140143-1543-28]
[1-237321073-773-140143-1543-28]
خطوة 4
خطوة 4.1
Multiply each element of R2 by 37 to make the entry at 2,2 a 1.
[1-23732137⋅037⋅7337(-773)37⋅-140143-1543-28]
خطوة 4.2
بسّط R2.
[1-23732101-11-60143-1543-28]
[1-23732101-11-60143-1543-28]
خطوة 5
خطوة 5.1
Perform the row operation R3=R3-143R2 to make the entry at 3,2 a 0.
[1-23732101-11-60-143⋅0143-143⋅1-1543-143⋅-11-28-143⋅-6]
خطوة 5.2
بسّط R3.
[1-23732101-11-60000]
[1-23732101-11-60000]
خطوة 6
خطوة 6.1
Perform the row operation R1=R1+23R2 to make the entry at 1,2 a 0.
[1+23⋅0-23+23⋅173+23⋅-1121+23⋅-601-11-60000]
خطوة 6.2
بسّط R1.
[10-51701-11-60000]
[10-51701-11-60000]