Find a `2xx2` matrix B such that `[[6,5],[5,6]] B=[[11,0],[0,11]]`

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

Find a 2xx2 matrix B such that B[(1,-2),( 1, 4)]=[(6, 0),( 0, 6)] .

Find a matrix X such that A+2B+X=0 where A= [[2,-1],[3,5]], B[[-1,1],[0,2]]

Find a matrix A such that 2A-3B+5C=O , where B=[[-2, 2, 0],[ 3, 1 ,4]] and C=[[2, 0,-2], [7, 1, 6]] .

Find a matrix B of order 2xx2 such that : [{:(1,1),(-2,3):}]B=[{:(3,4),(-1,2):}]

Find a matrix X of order 3xx2 such that 2A+3X=58B , where A=[[8,0],[4,-2],[3,6]], B=[[2,-2],[4,2],[-5,1]]

Find the rank of the matrix [[0,0],[-1,1]]

Find the rank of the matrix : [[-1,-3,3,-1],[1,1,-1,0],[2,-5,2,-3],[-1,1,0,1]]

Find the matrix X for which [(5,4),(1,1)]xx=[(1,-2),(1,3)]

If A=[{:(,8,6),(,-2,4):}] and B=[{:(,-3,5),(,1,0):}] then solve for 2 xx 2 matrix X such that (i) A+X=B (ii) X-B=A