Q10Multiple correct3 Marks3 Sep 2023

Let $W = \text{span}\{(1, 1, 1), (1, -1, 0)\}$ in $\mathbb{R}^3$. Find the projection of $v = (1, 2, 3)$ onto $W$.

A

$\text{span}\{B, C, D\} = M_2(\mathbb{R})$

B

$\text{span}\{A, B, D\} \cap \text{span}\{A, F\} = \{0\}$

C

Span {A, E, F} = { A in v_2(R) : A is symmetric i.e., A^T = A }

D

The set of all 2 x 2 diagonal matrices are spanned by the matrices A and E.