5. Let H be the linear space of matrices 2x2 over the field of real numbers....

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5. Let H be the linear space of matrices 2x2 over the field of real numbers. 1) Find the basis and dimension of the L(A1, A2, A3, A4) subset of H spanned by the following matrices: -1 1 1 -20 ^ - ( 2 3 ) ^ - (4 1) ~ - (2) - (32) A1 = A2 = A3 = 13 A4 = 05 2) Extend this basis to the basis of the space H 5. Let H be the linear space of matrices 2x2 over the field of real numbers. 1) Find the basis and dimension of the L(A1, A2, A3, A4) subset of H spanned by the following matrices: -1 1 1 -20 ^ - ( 2 3 ) ^ - (4 1) ~ - (2) - (32) A1 = A2 = A3 = 13 A4 = 05 2) Extend this basis to the basis of the space H