For a non-trivial solution -A- is -A-0-A-0-A-0-A- displaystyleneq 0

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Toppr Admin · Accepted Answer

An n-xD7-n homogeneous system of linear equations has a unique-xA0-solution-xA0-the-xA0-trivial solution- if and only if its-xA0-determinant-xA0-is-xA0-non-zero- If this-xA0-determinant-xA0-is zero- then the system has an infinite number of-xA0-solutions- i-e-xA0-For a non-trivial solution -A-0-

For a non-trivial solution $| A |$ is
$| A | > 0$
$| A | < 0$
$| A | = 0$
$| A | \neq 0$

An $n \times n$ homogeneous system of linear equations has a unique solution (the trivial solution) if and only if its determinant is non-zero. If this determinant is zero, then the system has an infinite number of solutions. i.e. For a non-trivial solution $| A | = 0$ .

For a non-trivial solution |A| is |A|>0|A|<0|A|=0|A|≠0

An n×n homogeneous system of linear equations has a unique solution (the trivial solution) if and only if its determinant is non-zero. If this determinant is zero, then the system has an infinite number of solutions. i.e. For a non-trivial solution |A|=0.

For a non-trivial solution $| A |$ is
$| A | > 0$
$| A | < 0$
$| A | = 0$
$| A | \neq 0$

An $n \times n$ homogeneous system of linear equations has a unique solution (the trivial solution) if and only if its determinant is non-zero. If this determinant is zero, then the system has an infinite number of solutions. i.e. For a non-trivial solution $| A | = 0$ .