Untitled Quiz

If the inverse of the matrix 2x3x -2x2x is -2 -3 2 2 , then find the value of x .

If → u is a unite vector in the direction of → A&|A|= 20then find → A. → u.

Let A&B be3×3matrices such that A= 10 0 0 9 12 0 0 -7 1 10 and|B|= 1 120 , then find |2AB T |

Find the solution set of the following system of equation 2x+ 2y+ 6z= 4 2x+ 6y+ 2z=−6 -4x−6y−12z=−6

LetA= 8−6 18 0 6 8 0 2 4 , then finddet(A T A)

IfA= (a ij ) 3×3 is a square matrix withA -1 = 2 4 3 2 2 4 1 5 6 , then find the cofactor ofa 33

Let i and j be the standard unit vector in the direction of positive x-axis and positive y-axis respectively and → ABbe a vector from the pointA(−4,0)to the pointB(3,3). If → v=4 → AB−4i+j, then find the unit vector in the direction of → v

Let → a=−3i+ 5kand → b=−3i+ 3jbe vectors in the space . Then find the cosine of the angle between → aand → a- → b

If → u=(-3,x) and → v=(x, y−2)are vectors , then find the value of y so that → u+ → v= 6 → u- 1 3 → v

IfA(x,0,8),B(3, 5,3)andC(5,0,4)are vertices of equilateral triangle in space, then find the value of x