Ok, here's the question.
Apply Gramm-Schmidt procedure with standard inner product to {(i,i,i), (0,i,i),(0,0,i)}.
Ok, here we go.
u1 = (i,i,i)/||(i,i,i)|| = (1/sqrt(-3))(i,i,i) //book says answer is (1/sqrt(3))(i,i,i)
u2 = (0,i,i) - (1/sqrt(3))(0-1-1)(1/sqrt(3))(i,i,i) = (0,i,i) + (2/3)(i,i,i) = (1/3)(2i,5i,5i)
|| of above || = (1/3)(2i,5i,51)/sqrt(-6) //book says this answer is wrong also.
Before going to the next step, which is a nightmare, I was hoping someone could point out where I'm making my mistakes so far.
Apply Gramm-Schmidt procedure with standard inner product to {(i,i,i), (0,i,i),(0,0,i)}.
Ok, here we go.
u1 = (i,i,i)/||(i,i,i)|| = (1/sqrt(-3))(i,i,i) //book says answer is (1/sqrt(3))(i,i,i)
u2 = (0,i,i) - (1/sqrt(3))(0-1-1)(1/sqrt(3))(i,i,i) = (0,i,i) + (2/3)(i,i,i) = (1/3)(2i,5i,5i)
|| of above || = (1/3)(2i,5i,51)/sqrt(-6) //book says this answer is wrong also.
Before going to the next step, which is a nightmare, I was hoping someone could point out where I'm making my mistakes so far.