Question: Find a basis for the orthogonal complement to the following subspaces of R4: (a) The set of solutions to - x - 1- 3y -

Find a basis for the orthogonal complement to the following subspaces of R4:
(a) The set of solutions to - x - 1- 3y - 2z + w = 0
(b) The subspace spanned by (1, 2, - 1, 3)T, (- 2, 0, 1, - 2)T, (- 1, 2, 0, l)T
(c) The kernel of the matrix in Exercise 5.6.2c
(d) The corange of the same matrix.

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