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Solve in a clear page with details : 2. a) True or False: A, B are n by n matrices, k non zero scalar and

Solve in a clear page with details :

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2. a) True or False: A, B are n by n matrices, k non zero scalar and kA invertible: (2 points) i) AB = BA, ii) ( KA) -1 = KA-1, iii) (AB) T = ATBT, iv) det(kA) = k. det(A) b) Determine by inspection whether the following vectors v1 = (1, 2, 0), v2 = (3, 1, 2), V3 = (1, 4, 0) form a basis for R3. Please explain clearly. (2 points)

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