দেখাও যে একটি সমকোণী ত্রিভুজ থেকে বিন্দু (-1, 0, -4), (0, 1, -6) এবং (1, 2, -5)। [ইঙ্গিত...

If A=([3,0,0],[4,5,0],[2,1,6]) then A^(-1)=

Find ,A^2-5A+6l, if A = [(2,0,1),(2,1,3),(1,-1,0)] .

Find the matrix A such that : [(1 ,0 ),(0 ,1)]A=[(3 ,3 ,5 ),(1, 0 ,1)] (ii) A[(1, 2, 3 ),(4, 5 ,6)]=[(-7,-8,-9 ),(2, 4 ,6)]

If A = [(1,0,0), (0,1,1), (0, -2,4)], 6A ^ -1 = A ^ 2 + cA + dI, then (c, d) =

If A=|{:(1,4,5),(3,2,6),(0,1,0):}| , then evaluate A. (adj. A).

If X + [ [ 2 , 1 ] , [ 6 , 1 ] ] = [ [ 1 , 1 ] , [ 0 , 1 ] ] , then X is equal to ( 1 ) [ [ 0 , 1 ] , [ 0 , 6 ] ] ( 2 ) [ [ 0 , -1 ] , [ 0 , - 6 ] ] ( 3 ) [ [ -1 , 0 ] , [ - 6 , 0 ] ] ( 4 ) [ [ 1 , 0 ] , [ 6 , 0 ] ]

If A=[(2, 0,-3),( 4, 3, 1),(-5, 7, 2)] is expressed as the sum of a symmetric and skew-symmetric matrix, then the symmetric matrix is (a) [(2, 2,-4 ),(2, 3, 4),(-4, 4, 2)] (b) [(2, 4,-5),( 0, 3, 7),(-3, 1, 2)] (c) [(4, 4,-8),( 4, 6, 8),(-8, 8, 4)] (d) [(1, 0 ,0 ),(0 ,1 ,0),( 0, 0, 1)]

Show that(i) [[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1],[ 6, 7]] (ii) [[1, 2, 3],[ 0, 1, 0],[ 1, 1, 0]][[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]]!=[[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]][[1 ,2 ,3],[ 0, 1, 0],[ 1, 1, 0]]

Compare the product , ({:(-5, 1),(6, -1), (-2, 0):}) ({:(4, -5, -1), (5, 6, 1):})((5), (-4), (1))

A= [{:( 1,0,0) ,( 0,1,1) , ( 0,-2,4) :}] ,I= [{:( 1,0,0) ,( 0,1,0),( 0,0,1) :}]and A^(-1) =[(1)/(6) (A^(2)+cA +dt)] then , the value of c and d are