Question: Full solution with steps please N -4 - 1. Let A = where t is a real number. -1 2 3 a) Evaluate det(A). b)

Full solution with steps please

N -4 - 1. Let A = where t is a real number. -1 2 3 a) Evaluate det(A). b) Identify all values of t for which the matrix A is invertible. c) Read about the adjugate method for calculating A on pp. 130-134 of the textbook. Using the formula for A- involving adj(A) (on pp. 131) calculate the (2, 3)-th entry of A- when t = -1. d) Using the results obtained in parts a) and c), find each of the following for t = -1: (i) det (-A) (ii) det (A4 ) (iii) det (AT A) (iv) det (5A-1) (v) det(adj(A))

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