Let V be the set of all 2 x 2 matrices A= such that the product abcd = 0 with standard operations on matrices c. What is the zero vector in V? d. Does every matrix A in V have a negative that is in V? Explain e. Is V a vector space? Explain

Q: e M22c= multiplication. T = is a vector space under standard matrix addition and scalar

A: SOLUTION-

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A: Thus, the four matrices are not linearly independent.

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Q: 1. Let V be the set of all 2 x 2 matrices A= a such that the product abcd 0 with standard operations…

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Q: Let V be the set of all (4x4) real skew-symmetric matrices. It can be shown that V is a vector space…

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