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The system of equations x + y + z = 6, 2x + y + z = 7, x + 2 y + z = 8 has

a. A unique solution

b. No solution

c. An infinite number of solutions

d. None of these

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Ax = b has a unique solution if and only if rank[A] = rank[A|b] = n where n is number of unknown variables

## 3 Answers

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Answer Unique Solution
by (81 points)
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x + y + z = 6, 2x+ y +z = 7, x + 2 y +z = 8

 1 1 1 6 2 1 1 7 1 2 1 8

we can also find it using Rank

Ax = b has a unique solution if and only if rank[A] = rank[A|b] = n where n is number of unknown variables

rank[A] = rank[A|b] = 3

hence unique solution

by Active (4.2k points)
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Option a

by Boss (36.7k points)

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1 answer
1
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2 answers
2
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4 answers
3
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4 answers
4