Show that
(i) `[(5,-1),(6,7)][(2,1),(3,4)] ne [(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)] ne [(-1,1,0),(0,-1,1),(2,3,4)][(1,2,3),(0,1,0),(1,1,0)]`

Compute the indicated products: (i) [(a,b),(-b,a)][(a,-b),(b,a)] (ii) [(1),(2),(3)][(2,3,4)] (iii) [(1,-2),(2,3)][(1,2,3),(2,3,1)] (iv) [(2,3,4),(3,4,5),(4,5,6)][(1,-3,5),(0,2,4),(3,0,5)] (v) [(2,1),(3,2),(-1,1)][(1,0,1),(-1,2,1)] (vi) [(3,-1,3),(-1,0,2)][(2,-3),(1,0),(3,1)]

If A= [(1,0),(3,-1),(2,4)] and B= [(3,1,-2),(4,6,0)] find BA

Find x and y, if 2[(1,3),(0,x)]+[(y,0),(1,2)]=[(5,6),(1,8)]

Find x, if [(x, -5, -1)][(1,0,2),(0,2,1),(2,0,3)][(x),(4),(1)]=O

If X= [(2,3,0),(1,-1,5)] ,Y= [(-1,-2,3),(-1,0,2)] ,Z= [(0,4,-1),(5,6,-5)] find 3X+4Y-Z

(i) {:[( 1,0,0),( 0,1,0),( 0,0,1) ]:}" "(ii) {:[( 1,0,4),(3,5,-1),( 0,1,2) ]:}

The matrix is [(4,3,1),(0,2,3),(0,0,-2)] is:

Find the rank of the following matrices by minor method: (i) [{:(2,-4),(-1,2):}] (ii) [{:(-1,3),(4,-7),(3,-4):}] (iii) [{:(1,-2,-1,0),(4,-6,-3,1):}] (iv) [{:(1,-2,3),(2,4,-6),(5,1,-1):}] (v) [{:(0,1,2,1),(0,2,4,3),(8,1,0,2):}]