Question

(1 point) Each graph below is the graph of a system of three linear equations in three unknowns of the form Ai = b. Determine whether each system has a solution and, if it does, the number of free variables. c choose B choose A choose choose E choose D. choose choose

Answer 1

Part A):- There is no solution. Because no solution on parallel planes.

Part B) :- It has unique solution. Each teo planes intersects at line. Three lines intersect at single point. Free varibles is zero.

Part C):- No solution. because since there is no common intersection point. As two parallel planes never intersect.

Part D):- Three planes are intersect at single line. Free varibles =1.

Part E):- Three planes are coinsides. Free varibles are 2. Intersect points lies on whole plane.

Part F):- It has unique solution. Each two planes intersect at line. Three lines intersect at single point. Free varibles is zero.

Part G):- It does not have solution. since it contains two parallel planes.

Part H):- No solution. Three planes are parallel.

Part I):- No solution. since there is no common intersect point.

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