(ii) 3x + y - 2z = 0
x + y + z = 0
x - 2y + z = 0.
solve the homogeneous equation
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Answer:
4x+2y+3z=0
3x−y+2z=0
x+2y−z=0
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4x+2y+3z=0
3x−y+2z=0
x=z−2y
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4x+2y+3z=0
3x−y+2z=0
x=z−2y
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2y+3z+4(z−2y)=0
−y+2z+3(z−2y)=0
x=z−2y
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7z−6y=0
5z−7y=0
x=z−2y
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y=
6
7z
5z−7y=0
x=z−2y
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y=
6
7z
6
−19z
=0
x=z−2y
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y=
6
7z
z=0
x=z−2y
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y=0
z=0
x=0
2.
∣
∣
∣
∣
∣
∣
∣
4
3
1
2
−1
2
3
2
−1
∣
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∣
∣
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=
=4⋅(−1)⋅(−1)+2⋅2⋅1+3⋅2⋅3−
−3⋅(−1)⋅1−3⋅2⋅(−1)−2⋅2⋅4=19
Step-by-step explanation:
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