If an elementary row operation R₁ → R₁ + 2R₂ is applied to the identity matrix I of order 2, the resulting matrix is: A. [[1, 0], [0, 1]] B. [[1, 2], [0, 1]] C. [[3, 0], [0, 1]] D. [[1, 0], [2, 1]] Answer: B) [[1, 2], [0, 1]] Explanation: I = [[1, 0], [0, 1]]. Applying R₁ → R₁ + 2R₂, the new Row 1 is [1+2(0), 0+2(1)] = [1, 2]. So the matrix becomes [[1, 2], [0, 1]].

imo class 12 matrices

If an elementary row operation R₁ → R₁ + 2R₂ is applied to the identity matrix I of order 2, the resulting matrix is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If an elementary row operation R₁ → R₁ + 2R₂ is applied to the identity matrix I of order 2, the resulting matrix is:

Answer: B) [[1, 2], [0, 1]]

Explanation: I = [[1, 0], [0, 1]]. Applying R₁ → R₁ + 2R₂, the new Row 1 is [1+2(0), 0+2(1)] = [1, 2]. So the matrix becomes [[1, 2], [0, 1]].