For a given system of n homogenous equations in n variables- if -A-0 then there exist only the trivial solution-A- TrueB- False

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Standard XII

Mathematics

Solving System of Linear Equations Using Inverse

For a given s...

Question

For a given system of n homogenous equations in n variables, if $| A | \neq 0$ then there exist only the trivial solution.

True

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False

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Solution

The correct option is A
True

For any given system of homogeneous equations there always exists a trivial solution. If $| A | \neq 0$ then there exists only trivial solution.

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For a given system of n homogenous equations in n variables, if |A|≠0 then there exist only the trivial solution.

The correct option is A True For any given system of homogeneous equations there always exists a trivial solution. If |A|≠0 then there exists only trivial solution.

For a given system of n homogenous equations in n variables, if $| A | \neq 0$ then there exist only the trivial solution.

The correct option is A
True

For any given system of homogeneous equations there always exists a trivial solution. If $| A | \neq 0$ then there exists only trivial solution.