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Which of the following is (are) NOT the square of a 3xx3 matrix with real entries? (a)[[1, 0, 0],[ 0, 1, 0],[ 0, 0,-1]] (b) [[-1, 0, 0] ,[0,-1, 0],[ 0, 0, -1]] (c)[[1, 0, 0],[ 0, 1, 0],[ 0, 0, 1]] (d) [[1, 0, 0],[ 0,-1, 0],[ 0, 0,-1]]
Find the co- ordinates of the centroid of the tetrahedron whose vertices are (0,0,0) ,(a,0,0),(0,b,0) and (0,0,c)
What are corrdinates of the point equidistant from the points (a,0,0),(0,a,0),(0,0,a) and (0,0,0) ?
What are coordinates of the point equidistant from the points (a,0,0), (0,a,0),(0,0,a) and (0,0,0)?
Choose the correct answer in questions 17 to 19: If x, y, z are nonzero real numbers then the inverse of metrix A=[{:(x,0,0),(0,y,0),(0,0,z):}] is : (a) [{:(x^(-1),0,0),(0,y^(1),0),(0,0,z^(1)):}] (b) xyz[{:(x^(-1),0,0),(0,y^(1),0),(0,0,z^(1)):}] ( c) 1/(xyz)[{:(x,0,0),(0,y,0),(0,0,z):}] (d) 1/(xyz)[{:(1,0,0),(0,1,0),(0,0,1):}]
Find the co ordinates of the point equidistant from the points : (2,0,0),(0,3,0),(0,0,8) and (0,0,0)
let P_(1)=[(1,0,0),(0,1,0),(0,0,1)],P_(2)=[(1,0,0),(0,0,1),(0,1,0)],P_(3)=[(0,1,0),(1,0,0),(0,0,1)],P_(4)=[(0,1,0),(0,0,1),(1,0,0)],P_(5)=[(0,0,1),(1,0,0),(0,1,0)],P_(6)=[(0,0,1),(0,1,0),(1,0,0)] and X=sum_(k=1)^(6) P_(k)[(2,1,3),(1,0,2),(3,2,1)]P_(k)^(T) Where P_(k)^(T) is transpose of matrix P_(k) . Then which of the following options is/are correct?