Givem that the matrix A = ((3,1,5),(2,3,5),(5,1,6) ).
If Adj. A = (((13),(-1),(-10)),((13),(-7),(-5)),((-13),2,7) )
(i) find A^(−1)
(ii) Use the result in (i) to find the
values of x, y and z that will satisfy the
equations:
3x + y + 5z = 8
2x +3y + 5z = 0
5x + y + 6z = 13
A linear transformation E, of the
x−y plane is defined as
E:(x, y) → (2x+y, 2x+3y)
Find the equation of the line that
remains invariant under the
transformation.
find the rank of the matrix A and B by
following row operation:
A= [(1,2,3,(−1)),((−2),(−1),(−3),(−1)),(1,0,1,( 1)),(0,1,1,(−1)) ]
B= [(( 1),( 2),(−1),( 4)),(( 2),( 4),( 3),( 5)),((−1),(−2),( 6),(−7)) ]