selftest1b - Self-test 1b 1 Find the solution set for the following system of equations(4 pts x1 3x2 x3 = 2 2x1 x2 4x3 = 3 2 Use Gauss-Jordan

selftest1b - Self-test 1b 1 Find the solution set for the...

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Self-test 1b 1.Find the solution set for the following system of equations: (4 pts) 3 2.Use Gauss-Jordan elimination to put the following matrix into reduced row-echelon form: (4 pts) 3.Are there any values of the parameter a for which the following set of equations has nontrivial solutions? (4 pts) (3 a)x12x2= 0 a2x1+ (2 4a)x2= 0 4.Compute the indicated quantities: a. (2 pts) 614063140026140231b. (2 pts) 4011233403125.Let Abe an arbitrary 2 2 matrix. What are the necessary and sufficient conditions for A2 = A? (4 pts) 6.Compute the inverse of the following matrix: