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# The Inverse Of A Symmetric Matrix (if It Exists) Is

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## Question

### Solution

Correct option is

A Symmetric Mmatrix

Let A be an invertible symmetric matrix.

#### SIMILAR QUESTIONS

Q1

, then value of α for which A2 = B is

Q2
Q3
Q4

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

Q5

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

Q6

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

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