II_(1)[[2,-6],[1,-2]]

Express the following matrices as the sum of a symmetric and a skew symmetric matrix:(i) [[3, 5],[ 1,-1]] (ii) [[6,-2, 2],[-2, 3,-1],[ 2,-1, 3]] (iii) [[3, 3,-1],[-2,-2, 1],[ 4, 5, 2]] (iv) [[1 ,5],[-1, 2]]

Find the inverse of the following matrices [{:(3,-1),(-4,2):}](ii)[{:(2,-6),(1,-2):}]

" (i) |[2,5], [6,0]| (ii) |[2,-1],[3,2]| (iii) |[0,4],[5,-1]| (iv) |[(1)/(2),1],[(3)/(4),(1)/(5)]|

find the inverese of the following matrices by using elementary column transformations: (i) [{:(3,-1),(-4,2):}](ii)[{:(2,-6),(1,-2):}]

Find the transpose of each of the following matrices:(i) [[5],[ 1/2],[-1]] (ii) [[1,-1],[ 2, 3]] (iii) [[-1, 5, 6],[sqrt(3),5, 6],[ 2 ,3,-1]]

If A=[(1,2,3),(-1,0,2),(1,-8,-1)],B=[(4,5,6),(-1,0,1),(2,1,2)],C=[(-1,-2,1),(-1,2,3),(-1,-2,2)] , find (i) 2B-3C (ii) A-2B+3C .

Evaluate : if possible (i) [3,2] [{:(,2),(,0):}] (ii) [1 , -2] [{:(,-2,3),(,-1,4):}] (iii) [{:(,6,4),(,3,-1):}] [{:(,-1),(,3):}] (iv) [{:(,6,4),(,3,-1):}] [{:(,-1),(,3):}]

Find the transpose of each of the following matrices: (i) [[5], [1/2], [-1]] ii) [[1, -1],[ 2, 3]] (iii) [[-1, 5, 6],[ sqrt3, -5, 6],[ 2, 3, -1]]

If A=[{:(1,2),(4,1),(5,6):}],B=[{:(1,2),(6,4),(7,3):}] , then verify that : (i) (2A+B)=2A'+B' (ii) (A-B)'=A'-B'