Question

Match List-I with List-II. List-I: A. If A is an invertible matrix then, B. If A is orthogonal matrix then, C. \((A-\lambda I)\) is a matrix, D. The rank of unit matrix of order n. List-II: I. \(|A|=\pm 1\), II. \(|A|\ne 0\), III. is \(n\), IV. Characteristic.

• A. A-I, B-II, C-III, D-IV
• B. A-II, B-I, C-IV, D-III
• C. A-II, B-I, C-III, D-IV
• D. A-I, B-II, C-IV, D-III

Hint:

Invertible matrix has non-zero determinant, orthogonal matrix has determinant \(\pm 1\), and rank of identity matrix of order \(n\) is \(n\).

Answer 1

The Correct Option is B