Q9Multiple correct2 Marks3 Sep 2023

Let V be the vector space of all n x n matrices with usual addition and scalar multiplication. Which of the following subset(s) form a subspace of V?

A

v_1 = { A in x_n(R) : A is invertible }

B

v_2 = { A in x_n(R) : $\text{det}(A)$ = 1 }

C

v_3 = { A in x_n(R) : A is upper triangular }

D

1_{4} = { A in x_n(R) : A is symmetric i.e., A^T = A }