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- Q1/ Solve the following: 3 1 -6 a. Find the inverse matrix (A-) if the matrix A = 5 -1 -4 3When using Gauss-Jordan elimination method the first step to solve the following matrix To -214 3 52 isThe 2 x 2 elementary matrix E can be obtained from the identity matrix using the row operation r1 ← r₁ + 2r2. Find EA if A = -1.881 EA = -3 -2 -5 -2]
- 3 Solve the matrix equation 2X+ A=B for X if A= -1 and B -2 X= (Simplify your enswer )Show that if A is a square matrix that satisfies the equation A² - 2A + I = O, then A¹ = 2I - A. The equation A² - 2A + I = O implies that ---Select--- ✓. It follows that ---Select--- Need Help? Read It . Notice the last equation means that --Select--- multiplied with A is the identity, which is what we wanted to prove.Solve for the matrix described