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Consider the vector space M2x2 with the usual addition and scalar multiplication. Let it be the...

Consider the vector space M2x2 with the usual addition and scalar multiplication. Let it be the subspace of M2x2 defined as follows:

H= { | a b |

| c d |    with b= c}

consider matrices A= | 1 2 |    B= |-2 2 |    C= | 1 8 |

   | 1 3 | , | 1 -3 | ,    | 4 6 |

Do they form a basis for H? justify the answer

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