Time Left - 30:00 mins

JEE Revision Plan - Maths 12.1

Attempt now to get your rank among 381 students!

Question 1

Let A be any 3×3 invertible matrix. Then which one of the following is not always true?

Question 2

then adj (3A²+12A) is equal to:

Question 3

If A is a 3Χ3 matrix such that, |5adjA|=5 then |A| is equal to:

Question 4

If is the adjoint of a 3 × 3 matrix A and |A| = 4, then α is equal to

Question 5

The number of 3 × 3 non–singular matrices, with four entries as 1 and all other entries as 0, is

Question 6

Let A be a square matrix all of whose entries are integers. Then which one of the following is true?

Question 7

Directions: Assertion–Reason type questions. Each of these questions contains two statements: statement–1 (Assertion) and Statement–2 (Reason). Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice.

Let A be a 2 × 2 matrix with real entries. let I be the 2 × 2 identity matrix. Denote by tr(A), the sum of diagonal entries of A. Assume that A² = I.
Statement–1: If A ≠ I and A ≠ – I, then det A = –1
Statement–2: If A ≠ I and A ≠ –I, then tr(A) ≠ 0.