Question 5 - Week 2 Practice | Prasnya
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Week 2
Question 5
00:00
Est. 3 min
Marks:
+4.00
0.00
Consider the system of linear equations with unknowns
x
,
y
,
z
x,y,z
given by
[
1
2
1
3
0
−
1
1
8
5
]
[
x
y
z
]
=
[
b
1
b
2
b
3
]
,
\begin{bmatrix}1&2&1\\3&0&-1\\1&8&5\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}b_1\\b_2\\b_3\end{bmatrix},
where
b
1
,
b
2
,
b
3
∈
R
b_1,b_2,b_3\in\mathbb{R}
. Choose the equation to be satisfied by
b
1
,
b
2
,
b
3
b_1,b_2,b_3
to ensure that the given system of equations has a solution.
Single correct
Medium Difficulty
26 October 2025
A
2
b
1
+
b
2
−
b
3
=
0
2b_1+b_2-b_3=0
B
2
b
1
−
b
2
+
b
3
=
0
2b_1-b_2+b_3=0
C
−
4
b
1
+
b
2
−
b
3
=
0
-4b_1+b_2-b_3=0
D
−
4
b
1
+
b
2
+
b
3
=
0
-4b_1+b_2+b_3=0
