If `[[m,1,2],[-1,0,3],[5,-1,4]] =7` value of m=

7.Find the value of 6^(m-4)=1

m^2-m+1=0 find the value of m

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

Let M be a 3xx3 matrix satisfying M[[0], [1] ,[0]]=[[-1], [2], [3]] , M[[1],[-1], [0]]=[[1], [1],[-1]] ,and M[[1], [1], [1]]=[[0] ,[0], [12]] Then the sum of the diagonal entries of M is _________.

If A=[[1,4],[0,5],[6,7]] and B=[[2,3,-1],[1,0,-7]] , verify that (AB)\'=B\'A\'

[(1,3),(-2,4)]+[(11,5),(-6,12)]=K[(3,2),(J,M)] . Find the value of K+J+M.

If [{:(,a,3),(,4,1):}]+[{:(,2,b),(,1,-2):}]-[{:(,1,1),(,-2,c):}] =[{:(,5,0),(,7,3):}] find the values of a,b and c.

The mid-point of the segment joining (3m, 6) and (-4, 3n) is (1, 2m, -1). Find the values of m and n.