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let v1 v9 be the column vectors of a non zero 9 9
Question:
Let v
1
, . . . , v
9
be the column vectors of a non-zero 9 × 9 real matrix A. Let a
1
, . . . , a
9
∈
\(\R\)
, not all zero, be such that
\(\sum^9_{i=1}a_iv_i=0\)
. Then the system
\(Ax=\sum^9_{i=1}v_i\)
has
IIT JAM MA - 2023
IIT JAM MA
Updated On:
Oct 1, 2024
no solution
a unique solution
more than one but only finitely many solutions
infinitely many solutions
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The Correct Option is
D
Solution and Explanation
The correct option is (D) : infinitely many solutions.
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