PG entrance exam IIT JAM 2025 Mock Test Mathematical Science Linear Algebra Algebra of Linear Transformations
Which of the following is/are true?
1
Every linear transformation from ℝ2 to ℝ2 maps lines onto points or lines
2
Every surjective linear transformation from ℝ2 to ℝ2 maps lines onto lines
3
Every bijective linear transformation from ℝ2 to ℝ2 maps pairs of parallel lines to pairs of parallel lines
4
Every bijective linear transformation from ℝ2 to ℝ2 maps pairs of perpendicular lines to pairs of perpendicular lines