I need help. For this problem, you have to use the Gram-Schmidt process to make it orthogonal. My trouble is finding the bais for the kernel of the linear map L: R4 -> R1 defined by L([a,b,c,d)]=a-b-2c+d I know the dimension of the kernel is 3, but how? I have tried setting it against the standard basis and that's not right. I tried solving it by using four vectors with different values, and that keeps giving me a linear dependent vector. PLEASE HELP!!! Am I missing something? I can row reduce and pull out the constants, but I have no idea how to get to the matrix.