Answer to Question #41763 in Linear Algebra for Elena_shcher

Question

hello,
Please help me solve this

Consider for every real number a the linear system of equations:

{ x +( a + 1 )y + a^2 z = a^3
{ ( 1 - a )x +( 1 - 2a )y = a^3
{ x +( a + 1 )y + az = a^2


a)Find the solution for a = 2

b)Find the values of a for which the system has no solution, infinitely many solutions, and a unique solution

c)Find the solution for a = -1

Answer 1

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