Math 54 quiz 6 let h be the set of 3 times 3 matrices such

Question

MATH 54 QUIZ 6-

1. Let H be the set of 3 × 3 matrices such that A = -A^T (these are called skew-symmetric matrices). Show that H is a subspace of M_3×3.

2. Let be a basis of R³, and let ε be the standard basis of R³.

(a) Write the change of coordinate's matrix from B to ε.

(b) Use (a) to compute [x]_B, where x =