consider the vector space M22 of real 2x2 matrices. Let V1 be the set of matrices of the form [a b,-a c] and V2 be set of matrices of the form [p -p, q r]. Find bases for V1,V2 and V1 n V2. Give the dimensions of these spaces.

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- Nov 22nd 2009, 06:23 AMlm6485bases
consider the vector space M22 of real 2x2 matrices. Let V1 be the set of matrices of the form [a b,-a c] and V2 be set of matrices of the form [p -p, q r]. Find bases for V1,V2 and V1 n V2. Give the dimensions of these spaces.

- Nov 22nd 2009, 08:30 AMShanks
Write the matrix V1, V2 into the form of linear combination of metrixs with coefficients a, b and c (p, q and r) respectively.