1.

Evaluate the determinant |(7, - 3, -4), (-3, 6, -2), (- 4, - 2, 11)|

Answer»

We will expand with the help of 2st column.

D = 7|(6, -2), (-2, 11)| - (- 3)|(- 3, - 4), (- 2, 11)| + (- 4)|(-3, - 4), (6, - 2)|

= 7[(6 x 11) -(-2 x -2)] + 3[(-3 x 11) - (-4 x -2)] - 4[(-3 x - 2) - (- 4 x 6)]

= 7(66 - 4) + 3(-33 - 8) - 4(6 + 24) = 191



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