If `A=[(1)/(5),-(2)/(0),(4)/(7)]` then find `A^(T)`

If B-A^(T)={:[(3,4,-2),(5,-3,7)]:}andB^(T)+A={:[(2,0),(5,-1),(3,4)]:} , then find Matrix A.

If A-B^(T){:[(2,3,4,-1),(0,3,-1,5)]:}andA^(T)+B={:[(5,3),(1,0),(2,5),(3,-1)]:} , then find the matrices A and B.

If A=[[-1,0],[4,2],[0,-1]] then find (-7) A.

If ({:((1)/(2), -(3)/(5)),((4)/(6), -(1)/(7)):}) = ({:(-a, b), (c, -d):})({:(1, 0), (0, 1):}) then find a, b,c and d.

If A={:[(2,3,5,6),(-1,2,-3,4)]:}andB={:[(4,-5,3,7),(8,-3,-1,2)]:} , then find A^(T)+B^(T)and(A+B)^(T) . What do you notice ?

if A=[{:(2,1),(0,3),(1,-1):}] and B=[{:(0,3,5),(1,-7,2):}] , then verify (BA)^(T) = A^(T)B^(T) .

If A=[(2,3,4),(-3,0,2)], B=[(3,-4,-5),(1,2,1)], C=[(5,-1,0),(7,0,3)], then find A+B+C.

If A=[[7,-2],[-1,2],[5,3]] and B=[[-2,-1],[4,2],[-1,0]] then find AB^(T) and BA^(T)

If A =[(1,-2),(4,5)] and f (t) = t^2 – 3t + 7 then f(A) =