document.write( "Question 1031677: Find the value(s) of \"k\" so that the system is inconsistent:
\n" ); document.write( "x + y + 3z = 1
\n" ); document.write( "x + ky + 3z = 1
\n" ); document.write( "x + 2y + kz = 3 \n" ); document.write( "

Algebra.Com's Answer #646369 by Fombitz(32388) $\"\"$ $\"About$

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Find the determinant in terms of k.
\n" ); document.write( " $\"D=1%28k%5E2-6%29%2B1%283-k%29%2B3%282-k%29\"$
\n" ); document.write( " $\"D=k%5E2-6%2B3-3k%2B6-2k\"$
\n" ); document.write( " $\"D=k%5E2-4k%2B3\"$
\n" ); document.write( " $\"D=%28k-3%29%28k-1%29\"$
\n" ); document.write( "When $\"k=1\"$ , the system becomes dependent since rows 1 and 2 are identical.
\n" ); document.write( "When $\"k=3\"$ , the system becomes inconsistent.\r
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