If `A=[(1, 2, 0 ),(3,-4, 5),( 0,-1, 3)]` , compute `A^2-4A+3I_3` .

Let A=[(-1 ,1,-1),(3,-3 ,3),( 5, 5, 5)] and B=[(0 ,4 ,3 ),(1,-3,-3),(-1 ,4 ,4)] , compute A^2-B^2 .

Given A=[(5, 0, 4),( 2, 3, 2),( 1, 2, 1)] , B^(-1)=[(1, 3, 3),( 1, 4, 3),( 1, 3, 4)] . Compute (A B)^(-1) .

Given A=[(5, 0, 4),( 2, 3, 2),( 1, 2, 1)] , B^(-1)=[(1, 3, 3),( 1, 4, 3),( 1, 3, 4)] . Compute (A B)^(-1) .

Given A=[{:(5,0,4),(2,3,2),(1,2,1):}] , B^(-1)=[{:(1,2,3),(1,4,3),(1,3,4):}] . Compute (AB)^(-1) .

If A=[(1,-2,3),(-4,2,5)],B=[(1,3),(-1,0),(2,4)] then 2A+3B'=

If A=[(1,2-3i,3+4i),(2+3i,0,4-5i),(3-4i,4+5i,2)] then A is

(i) if A=[{:(4,-1,-4),(3,0,-4),(3,-1,-3):}], then show that A^(2)=I

(i) if A=[{:(4,-1,-4),(3,0,-4),(3,-1,-3):}], then show that A^(2)=I

If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(4,1,2),(0,3,2),(1,-2,3)] , then compute (A+B) and (B-C) . Also, verify that A+(B-C)=(A+B)-C .