What is the value of the determinant ?

Answer and explanation

Correct answer: D. -35

  1. Step 1: The determinant of a matrix is defined as .
  2. Step 2: Substitute the entries , , , and : .
  3. Step 3: Calculate the individual products and subtract: .
Answer
-35.
Why not the others: 37 adds the diagonal products () instead of subtracting; 5 adds rather than subtracts the constant term in the final step; 35 reverses the sign ().

Practise more Matrices and determinants.

Free questions with an explanation for every one, and full timed JEE Main mock tests.

All Matrices and determinants questionsTake a mock test

More Matrices and determinants questions