Practicing Success
For what value of k, the matrix A = \(\left[\matrix{k+5&6\\-1&k}\right]\) will be singular? |
-2 -3 Both -2 and -3 Neither -2 nor -3 |
Both -2 and -3 |
\( { k }^{ 2 } +5k+6 =0\) k2 + 2k + 3k + 6 = 0 (k2 + 2k) + (3k + 6) = 0 k(k+2) + 3(k+2) = 0 (k+2) (k+3) = 0 k+2 = 0 or k+3 = 0 k = -2 or k = -3
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