Let A = 1 2 1 −2 and b = 4 0 be a 2 × 2-matrix and a 2 × 1-column vector respectively. Write b as a linear combination of the column vectors of A, and hence conclude that the linear equation Ax = b is consistent.

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c