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Engineering Maths · Q101

Linear Algebra

Engineering and GATE · Engineering Maths · question 101

Q101

Let A be an n × n real matrix such that A2 = I and y be an n-dimensional vector. Then the linear system of equations Ax = y has

Let A be an n × n real matrix such that A2 = and y be an n-dimensional vector.
Then the linear system of equations Ax = y has
A.
no solution
B.
a unique solution
Answer
C.
more than one but finitely many independent solutions
D.
infinitely many independent solutions

Answer: Option B

Solution

Answer: Option B
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