Evalute the determinat `Delta=|{:(1,3,-1),(0,1,2),(1,2,3):}|=1`

Evalute the determinants : A=|{:(1,0,1),(0,1,2),(0,0,4):}|

Evalute the determinant |(-2,2,1),(1,4,2),(-2,-3,1)|

Evalute the determinants : (i) |{:(3,-1,-2),(0,0,1),(3,-5,0):}| (ii) |{:(3,-4,5),(1,1,-2),(2,3,1):}| (iii) |{:(0,1,2),(-1,0,-3),(-2,3,0):}| (iv) |{:(2,-1,-2),(0,2,-1),(3,-5,0):}|

Evalute the determinants : (i) |{:(3,-1,-2),(0,0,1),(3,-5,0):}| (ii) |{:(3,-4,5),(1,1,-2),(2,3,1):}| (iii) |{:(0,1,2),(-1,0,-3),(-2,3,0):}| (iv) |{:(2,-1,-2),(0,2,-1),(3,-5,0):}|

Delta=|[5,3,8],[2,0,1],[1,2,3]|=

Find the adjoint and reciprocal determinats of |{:(-4,1,2),(2,-1,0),(-3,1,3):}|

Evalute the determinants in queations 1 and 2 : If A=|{:(1,0,1),(0,1,2),(0,0,4):}|

Find the adjoint and reciprocal determinats of |{:(4,1,2),(7,3,5),(5,1,3):}|

Evalute |{:(5,3),(-1,2):}|

An equilateral triangle has each side to a. If the coordinates of its vertices are (x_(1), y_(1)), (x_(2), y_(2)) and (x_(3), y_(3)) then the square of the determinat |(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|^2 equals