Question
Its the middle one. [a-2b+5c]
[2a+5b-8c]
[-a-4b+7c]
[3a+b+c]
A matrix .4 is called skew-symmetric if AT = -A . Consider the set of 3 times 3 skew-symmetric Prove that, the set of 3 times 3 skew-symmetric matrices forms a subspace of 3 times 3 matrices with real entries. Find a basis for the set of 33 skew-symmetric matrices. What the subspace?(c) Show that the Determinant of any 3 times 3 skew-symmetric m Find a basis for the set of vectors of the form below. What is the dimension of this subspace of R4 ? Consider the transformation Show that I is a linear Transformation .
Explanation / Answer
S = {v1, v2, ... , vn}is a basis for a vector space V and T = {w1, w2, ... , wk} is a linearly independent set of vectors in V, then k < n.
Dimension = 4