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Find the Solution of the question as shown in attached picture. a. Let t andr be two parameters. Write the equation system X1 - $=-X3

Find the Solution of the question as shown in attached picture.

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a. Let t andr be two parameters. Write the equation system X1 - $=-X3 3x3 + 3x1 = -X2 1x3 + X2 = X1 On the form i ) Ax = b 1i ) V . xi+ u . x2 + W . x3 = b iii) (A|5) b. We look at the equation systemabove. i) Calculate det (A) and show what value rmust have for the system of equations to have exactly one solution. ii) Show what values rand s must have for the system of equations to have infinitely many solutions. ini) Show what valuesr and s must have for the equationsystem to have no solution. Let F, G and H be three n * n matrices. Solve the following equation with respect to X, when it is known that the matrix F- G2 is invertible

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