Answer the following questions.Evaluate`|(1,-3,12),(0,2,-4),(9,7,2)|`

Answer the following questions.Evaluate |(2,-5,7),(5,2,1),(9,0,2)|

Answer the following questions:Show that the points (2,-1),(0,2),(2,3) and (4,0) are the vertices of a parallelogram.Also find the acute angle between the diagonals.

Answer the following questions. If A=[[1,-1,0],[2,3,4],[0,1,2]] and B=[[2,2,-4],[-4,2,-4],[2,-1,5]] ,show that BA=6I

Answer the following questions. If A=[[2,1,-3],[0,2,6]],B=[[1,0,-2],[3,-1,4]] ,find AB^T and A^TB

Answer the following questions.If A=[[4,-1,-4],[3,0,-4],[3,-1,-3]] ,show that A^2=I

Answer the following questions.If A=[[2,-4],[3,-2],[0,1]],B=[[1,-1,2],[-2,1,0]] ,show that (AB)^T=B^TA^T

Answer the following questions.If A=[[-3,2],[2,-4]],B=[[1,x],[y,0]] and (A+B).(A-B)=A^2-B^2 ,find x and y.

Answer the following questions.If A=[[1,2,3],[2,4,6],[1,2,3]] and B=[[1,-1,1],[-3,2,-1],[-2,1,0]] ,show that AB and BA are both singular matrices.

Answer the following questions.Find x,y,zif {[[1,3,2],[2,0,1],[3,1,2]]+2[[3,0,2],[1,4,5],[2,1,0]]}[[1],[2],[3]]=[[x],[y],[z]]