" 12."|[a^(2)+2a,2a+1,1],[2a+1,a+2,1],[3,3,1]|=(a-1)^(3)

Prove that |[a^2+2a,2a+1,1],[2a+1,a+2,1],[3,3,1]|=(a-1)^3

Prove that det[[a^(2)+2a,2a+1,12a+1,a+2,13,3,1]]=(a-1)^(3)

Show that |{:(a^2+2a,2a+1,1),(2a+1,a+2,1),(3,3,1):}|=(a-1)^3

Prove that: {:|(a^2+2a,2a+1,1), (2a+1,a+2,1),(3,3,1)|:}=(a-1)^3 .

Find the rank of matrix [ [1,1,-3,2],[2,-1,2,-3],[3,-2,1,-4],[-4,1,-3,1] ]

If A=[[0,1,3],[1,2,x],[2,3,1]] and A^(-1)=[[(1)/(2),-4,(5)/(2)],[-(1)/(2),3,-(3)/(2)],[(1)/(2),y,(1)/(2)]] . Find x,y

If P=[[1,2,-3] , [3,-1,2] , [-2,1,3]], Q=[[2,3,1] ,[3,1,2] , [1,2,3]] then find the matrix R such that P+Q+R is a zero matrix

Find the rank of the matrix [[2,1,-1,2],[1,3,2,-3],[-1,2,1,-1],[2,-3,-1,4]]

Let A={1,2,3,4} and R be a relation in given by R= (1,1), (2, 2), (3. 3). (4,4), (1,2), (2,1),(3,1), (1,3)} . Then R is

Let A = (1,2,3) and R = (1,1), (2,2), (1,2), (2,1), (1,3) then R is