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

If A=[{:(1,-5),(-3," "2),(4,-2):}]" and "B=[{:(3," "1),(2,-1),(-2," "3):}] , find the matrix C such that A+B+C is a zero matrix.

if A=[{:(1,-4,5),(2,1,-3):}]and B=[{:(2,3,-1),(1,2,3):}] then find a matrix C if 2A+3B -4C is a zero matrix.

[[2,3,5],[4,1,2],[1,2,1]]=P+Q , where P is a symmetric matrix and Q is a skew symmetric matrix then Q=

If P={:[(-1,3,5),(1,-3,-5),(-1,3,5)], show that, P^(2)=P hence find matrix Q such that 3P^(2)-2P+Q=I , where I is the unit matrix of order 3.

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

P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(3,-2,-1), then find the projection length of vec P Qon vec R Sdot

P+Q=((2,3,5),(4,1,2),(1,2,1)),P is symmetric, Q is a skew symmetric matrix then Q =

If A=[(2,3),(1,0)]=P+Q , where P is symmetric and Q is skew-symmetric, then find the matrix P.

If PxxQ={(2,-1),(3,0),(2,1),(3,1),(2,0),(3,-1)} , find P and Q.