2. Let A, BER2x2. Find all conditions on the elements of A, B so that A,...
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2. Let A, BER2x2. Find all conditions on the elements of A, B so that A, B commutes, i.e., AB = BA. Find the general equations the elements of two n x n matrices have to satisfy for the matrices to commute. 3. Solve the following set of algebraic equations: x1+x2+5x3 - x4 = 11 2. Let A, BER2x2. Find all conditions on the elements of A, B so that A, B commutes, i.e., AB = BA. Find the general equations the elements of two n x n matrices have to satisfy for the matrices to commute. 3. Solve the following set of algebraic equations: x1+x2+5x3 - x4 = 11
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