" Agid 10.fि "A=[[0,alpha,b],[-4,0,c],[-b,-c,0]|" if "(1)/(2)(A+A')" कrar "(1)/(2)" (A "-" Ah ")

If A=[[alpha,0],[1,1]],B=[[1,0],[2,1]] find alpha if A^2=B

If A=[(a,b),(c,d)],I=[(1,0),(0,1)] then A^(2)-(a+d)A=

If A= [[a,b],[c,d]] and I= [[1,0],[0,1]] then A^(2)-(a+d)A=

If A=[[1,0,1],[0,2,0],[1,-1,4]],A=B+C,B=B^(T) and C=-C^(T) , then C=

If A=[{:(" "1," "0,-2),(" "3,-1," "0),(-2," "1," "1):}],B=[{:(" "0,5,-4),(-2,1," "3),(-1,0," "2):}]" and "C=[{:(" "1," "5,2),(-1," "1,0),(" "0,-1,1):}], verify that A(B-C)=(AB-AC).

" Let "a,b,c in R" such that "[a, b ,c][[4,1,7],[2,-1,5],[1,-1,3]]=[[0,0,0]]." If "a=1" and "alpha, beta" are the roots of "ax^(2)+bx+c=0" then "sum_(n=1)^(oo)(|(1/alpha)-(1/beta))|)^n"

If A=[(1,2,-3),(5,0,2),(1,-1,1)] , B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(4,1,2),(0,3,2),(1,-2,3)] thern compute (A+B) and (B-C). Also verify A+(B-C)=(A+B)-C.

If A=[[1,0],[0,1]],B=[[1,0],[0,-1]] and C=[[0,1],[1,0]] then show that A^(2)=B^(2)=C^(2)

If A=[(alpha, 0,0),(0,b,0),(0,0,c)] and a,b,c are non zero real numbers, then A^-1 is (A) 1/(abc) [(1,0,0),(0,1,0),(0,0,1)] (B) 1/(abc) [(a,0,0),(0,b,0),(0,c,0)] (C) 1/(abc) [(a^-1,0,0),(0,b^-1,0),(0,c^-1,1)] (D) [(a^-1,0,0),(0,b^-1,0),(0,c^-1,1)]