Its the middle one. [a-2b+5c] [2a+5b-8c] [-a-4b+7c] [3a+b+c] A matrix .4 is call

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

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