If `A=[(1,2),(3,-5)]` then `A^-1` is
A. `[(-5,-2),(-3,1)]`
B. `[(5/11,2/11),(3/11, - 1/11)]`
C. `[(-5/11,-2/11),(-3/11, -1/11)]`
D. `[(5,2),(3,-1)]`

5/11+8/11-2/11

If A=[(-2,3),(-1,1)] then A^(3) is equal to

5/11+3/11+2/11

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

2/11+3/11+8/11

find the rank of matrix A=[( 2,-1,1),( 3,1,-5),(1,1,1)]

Expand |(3,2), (1,1)|

If A^(-1) =[(3,-1,1),(-15,6,-5),(5,-2,2)] and B = [(1,2,-2), (-1,3,0), (0,-2,1)] find (AB)^(-1)

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.