If `A=[{:(1,-3,2),(2," "0,2):}]" and "B=[{:(2,-1,-1),(1," "0,-1):}]`, find a matrix C such that
`(A+B+C)` is a zero matrix.

if A=[{:(1,6),(2,4),(-3,5):}]B=[{:(3,4),(1,-2),(2,-1):}], then find a matrix C such that 2A-B+c=0

If A=[{:(1,5),(7,12):}] and B=[{:(9,1),( 7,8):}] then find a matrix C such that 3A+5B+2C is a null matrix.

If A=[{:(1,5),(7,12):}] and B=[{:(9,1),( 7,8):}] then find a matrix C such that 3A+5B+2C is a null matrix.

if A=[{:(1,-4,5),(2,1,-3):}]and B=[{:(2,3,-1),(1,2,3):}] then find a matrix C if 2A+3B -4C is a zero matrix.

if A=[{:(2,-3),(4,-1):}]and B=[{:(3,0),(-1,2):}], then find matrix C such that 2A-B+3c is a unit matrix.

Given A=[{:(,2,-1),(,2,0):}], B=[{:(,-3,2),(,4,0):}] and C=[{:(,1,0),(,0,2):}] , Find the matrix X such that A+X=2B+C.

A={:[(1,2,1),(3,-1,2),(1,0,3)]:},B={:[(1,1,1),(-1,1,1),(2,-2,2)]:} then find matrix X such that 2A+X=2B.

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.

Find a 2x2 matrix B such that B[1-2 1 4]=[6 0 0 6]