Question 21 - Week 2 Practice | Prasnya
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Week 2
Question 21
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Est. 3 min
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+3.00
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Consider the system of linear equations represented in the matrix form
A
x
=
b
Ax=b
, where
A
=
[
1
1
3
1
2
4
1
3
α
]
A=\begin{bmatrix}1&1&3\\1&2&4\\1&3&\alpha\end{bmatrix}
and
b
=
[
2
3
β
]
b=\begin{bmatrix}2\\3\\\beta\end{bmatrix}
. What is the value of
α
+
β
\alpha+\beta
if the above system has infinitely many solutions?
Integer answer
Hard Difficulty
16 July 2023
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