﻿ If A is a non-singular matrix of size 3 × 3, then adj (adj A) is equal to : Kaysons Education

# If A Is A Non-singular Matrix Of Size 3 × 3, Then Adj (adj A) Is Equal To

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## Question

### Solution

Correct option is

Now,

[using scalar multiple property of determinants]

.

#### SIMILAR QUESTIONS

Q1
Q2
Q3

Let A and B be two 2 × 2 matrices. Consider the statements

(i) AB = O ⇒ A = O or B = O

(ii) AB = I2 ⇒ A = B–1

(iii) (A + B)2 = A2 + 2AB + B2.

Then

Q4

Let A, B be two n × n matrix such that A + B = AB, then

Q5

If A and B are symmetric matrices, then AB – BA is a

Q6

The inverse of a symmetric matrix (if it exists) is

Q7

The inverse of a skew symmetric matrix (if it exists) is

Q8

The inverse of a skew symmetric matrix of odd order is

Q9

If A is an orthogonal matrix, then |A| is

Q10

If A and B are two non-zero square matrices of the same order such that the product AB = O, then