Find the inverses of the following matrices using Gauss-Jordan reduction: 2 0 (b) -3 3 0...

 

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Find the inverses of the following matrices using Gauss-Jordan reduction: 2 0 (b) -3 3 0 (a) (i) (ii) (iii) ( 23 1 1 (a) Write the following systems of equations in matrix form: 8x - 2y = 1,-4x+y = -10 31 +23 = 20, 2₁ - 223 = 16 2u+ w= -1, u+3v-w-12, -5u-4v+3w=32 (b) One of the matrix equations in (a) has a unique solution, Determine which it is, and use both the inverse-matrix and the Gauss-Jordan elimination methods to find the solution. (You should, of course, get the same solution from both methods.) Find the inverses of the following matrices using Gauss-Jordan reduction: 2 0 (b) -3 3 0 (a) (i) (ii) (iii) ( 23 1 1 (a) Write the following systems of equations in matrix form: 8x - 2y = 1,-4x+y = -10 31 +23 = 20, 2₁ - 223 = 16 2u+ w= -1, u+3v-w-12, -5u-4v+3w=32 (b) One of the matrix equations in (a) has a unique solution, Determine which it is, and use both the inverse-matrix and the Gauss-Jordan elimination methods to find the solution. (You should, of course, get the same solution from both methods.)