Evaluate ( begin{vmatrix}5&-4 1& sqrt{3} end{vmatrix} ).

1.	Evaluate ( begin{vmatrix}5&-4 1& sqrt{3} end{vmatrix} ).
A.	4 ( sqrt{3} )+4
B.	4 ( sqrt{3} )+5
C.	5 ( sqrt{3} )+4
D.	5 ( sqrt{3} )-4
Answer» D. 5 ( sqrt{3} )-4

Discussion

Find the value of x if ( begin{vmatrix}3&x 2&x^2 end{vmatrix} )= ( begin{vmatrix}5&3 3&2 end{vmatrix} ).
Evaluate ( begin{vmatrix} sqrt{3}& sqrt{2} -1&2 sqrt{3} end{vmatrix} ).
If A= ( begin{bmatrix}2&5&9 6&1&3 4&8&2 end{bmatrix} ), find |A|.
Evaluate ( begin{vmatrix}8x+1&2x-2 x^2-1&3x+5 end{vmatrix} ).
Evaluate ( begin{vmatrix}5&4&3 3&4&1 5&6&1 end{vmatrix} ).
Evaluate ( begin{vmatrix}1&1&-2 3&4&5 -1&2&1 end{vmatrix} ).
Evaluate ( begin{vmatrix}i&-1 -1&-i end{vmatrix} ).
Evaluate ( begin{vmatrix}-sin &-1 1&sin end{vmatrix} ).
Evaluate ( begin{vmatrix}5&-4 1& sqrt{3} end{vmatrix} ).
Evaluate ( begin{vmatrix}2&5 -1&-1 end{vmatrix} ).