(Theorem 3 in section 6.1 is "Let A be an m n matrix. The orthogonal complement of the row space of A is the null space of A, and the orthogonal complement of the column space of A is the null space of A^T : (Row A)^{perpendicular} =Nul A and (Col A)^{perpendicular} =Nul A^T)

The Question- to be answered on MATLAB

Use Theorem 3 in section 6.1 to find the orthogonal complement of the span of the columns of A=[1,0 ; 2,1 ; 0,1].

Consider the vectors u= [1;-2;3] and v= [0;1;2]. Find the angle between u and v using the dot product as an inner product. (Use =||u||*||v||*cos(a) for #2,3)

Find the angle between u and v using the following inner product:

= 2u1*v1 + 3u2*v2 +5u3*v3.