Question

Solve the following system of equations, using matrix inversion method

Answer 1

Here the unknown is the matrix X, since A and B are already known. A is called the matrix of coefficients. This result gives us a method for solving simultaneous equations. All we need do is write them in matrix form, calculate the inverse of the matrix of coefficients, and finally perform a matrix multiplication so the answer should be and we should write the given equation in matrix form [ 4 -3 ] [ x ] [ 7 ] = [ 1 5 ] [ y ] [ 13 ] Next find inverse of the matrix which is i.e ___1_______ x [ 5 3 ] (4*5 -- (1 *(-3)) [ -1 4 ] inverse of the equation is __1__ x [ 5 3 ] = [ 5/23 3/23 ] 23 [-1 4 ] [ -1/23 4/23 ] then multiply the inverse value on both sides of the equation [5/23 3/23 ] [ 4 -3 ] [ x ] [5/23 3/23] [7 ] = [-1/23 4/23] [ 1 5 ] [ y ] [-1/23 4/23] [13 ] multiply by matrix method [20/23 +3/23 -15/23 +15/23 ] [ x ] [ 35/23+39/23 ] = [ -4/23+4/23 3/23+20/23 ] [ y ] [-7/23+52/23 ] [ 1 0 ] [ x ] [ 74/23 ] = [ 0 1 ] [ y ] [ 45/23 ] [ x ] [ 74/23 ] = [ y ] [ 45/23 ] is the coefficient matrix should the answer is this

Answer 2

Answer:

Refer the attachement

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