Test whether the following matrices conformal for multiplication or not: `A=[(-1,2),(3,4)], B=[(5),(6)]`

Check whether the following matrices are invertible or not. [[1,2],[3,3]] .

Find the rank of the following matrices by minor method : [(1,-2,3),(2, 4, -6),(5,1,-1)]

Check whether the following matrix is invertible or not. [[1,2,3],[3,4,5],[4,6,8]]

If A and B are two matrices for which conformability for multiplication is assured, then prove (AB)^(T) = B^(T)A^(T)

Find the rank of the following matrices by minor method : [{:(1,-2," "3),(2,4,-6),(5,1,-1):}]

Test whether the following matrices A and B are conformable for A + B, AB and BA and find their values when they are conformable : A={:((1,2),(0,1))and B={:((1,0),(0,1)):} A={:[(2,3),(5,6),(7,8)]:}and B={:[(3,8,5),(2,1,1),(1,3,3)]:}