10.(8%) Find a matrix representation A for the reflection of the plane in the line y = mx. (Hint : Assume that b1 is a Vector which lies along the line y = mx, and b2 is a vector which is orthogonal to b1.)

1. (10%) Consider the set S = {0,1} with the operations: A binary matrixcan be generated from binary matrix. denotes an identity matrix .Suppose we have a matrix G' given byPlease use G' to find binary matrices G and H. (Hint: use reduced row echelon form)