Question:
Which of the following is/are true ?
Which of the following is/are true ?
Updated On: Oct 1, 2024
- Every linear transformation from \(\R^2\) to \(\R^2\) maps lines onto points or lines
- Every surjective linear transformation from \(\R^2\) to \(\R^2\) maps lines onto lines
- Every bijective linear transformation from \(\R^2\) to \(\R^2\) maps pairs of parallel lines to pairs of parallel lines
- Every bijective linear transformation from \(\R^2\) to \(\R^2\) maps pairs of perpendicular lines to pairs of perpendicular lines
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The Correct Option is A, B, C
Solution and Explanation
The correct option is (A) : Every linear transformation from \(\R^2\) to \(\R^2\) maps lines onto points or lines, (B) : Every surjective linear transformation from \(\R^2\) to \(\R^2\) maps lines onto lines and (C) : Every bijective linear transformation from \(\R^2\) to \(\R^2\) maps pairs of parallel lines to pairs of parallel lines.
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