Write the transpose of each of the following matrices:`A=[[1,4,5],[2,6,7]]`

Write the transpose of each of the following matrices: B=[[4,6,3],[1,0,4],[0,2,3]]

Apply the given elementary transformation on each of the following matrices: A = [[1,2,-1],[0,1,3]] , 2C_2 , B = [[1,0,2],[2,4,5]] , -3R_1 . Find the addition of the new matrices.

Apply the given elementary transformation on each of the following matrices: B = [[1,-1,3] ,[2,5,4]] , R_1 rarrR_1-R_2

Verify that A(B+C)=AB+AC in each of the following matrices A=[[1,-1,3],[2,3,2]],B=[[1,0],[-2,3],[4,3]] and C=[[1,2],[-2,0],[4,-3]]

Verify that A(B+C)=AB+AC in each of the following matrices A=[[4,-2],[2,3]],B=[[-1,1],[3,-2]] and C=[[4,1],[2,-1]]

Find the inverse of each of the following matrix if it exists. [[2,1],[7,4]]