Explanation

A matrix is symmetric if it is equal to its transpose. That means:

$$A = A^T$$

For this 3×3 matrix:

$$A = begin{bmatrix} 5 & x & 3 \ x & 7 & 2 \ 3 & 2 & 9 \ end{bmatrix}$$

We compare element aij​ with $a_{ji}$ The (1,2) element is $x$, and the (2,1) element is also $x$, so they're already equal.
Now, look at element (1,3), which is 3, and element (3,1), which is also 3 — so they match.
Now check (2,3) = 2 and (3,2) = 2 — they also match.

So, the matrix is symmetric if and only if:

• $x=x$ (always true)

• All off-diagonal symmetric pairs match

Given that, the matrix is symmetric already, but if in the original problem the matrix looked like this:

$$begin{bmatrix} 5 & x & 3 \ 11 & 7 & 2 \ 3 & 2 & 9 \ end{bmatrix}$$

Then, to make it symmetric:

• The element at (1,2) must equal the element at (2,1)

• So: $$x=11
  

Explanation

List of Members countries of the United Nations with date of joining.

Explanation

The Persistence of Memory, a painting by Salvador Dali

It was completed in 1931.

It was in the Museum of Modern Art in the Newyork since 1934

Explanation

When we exhale, we release carbon dioxide, a waste product of the cellular respiration process.

For inhalation, we breathe in Oxygen, which is essential for our body's energy production.

Explanation

Phonology is the study of the patterns of sounds in a language and across languages.

Explanation

The Norwegian Nobel Committee awarded the Peace Prize in 1978 to Anwar al-Sadat

The Nobel Peace Prize 1978 for their contribution to the two frame agreements on peace in the Middle East, and on peace between Egypt and Israel

Muhammad Anwar el-Sadat was an Egyptian politician and military officer who served as the third president of Egypt, from 15 October 1970 until 6 October 1981

Born: 25 December 1918, Mit Abu al-Kawm, Egypt

Died: 6 October 1981, Cairo, Egypt

Explanation

We'll look at the differences between terms:

5 − 2 = 3

10 − 5 = 5

17 − 10 = 7

26 − 17 = 9

So the differences are: 3, 5, 7, 9 → increasing by 2 each time (an arithmetic sequence).

The next difference should be: 11

Now add 11 to the last term:

26 + 11 = 37

Explanation

"Everyone is equally subject to the law." is not a key feature of the separation of powers.

The key features are preventing overlap in functions among government branches.

It ensuring that one branch does not control or interfere with another.

Explanation

Last Member: On 7 March 2024, Sweden became the 32nd member.

List of NATO member countries

1.       Albania

2.       Belgium

3.       Bulgaria

4.       Canada

5.       Croatia

6.       Czechia

7.       Denmark

8.       Estonia

9.       France

10.   Germany

11.   Greece

12.   Hungary

13.   Iceland

14.   Italy

15.   Latvia

16.   Lithuania

17.   Luxembourg

18.   Montenegro

19.   Netherlands

20.   North Macedonia

21.   Norway

22.   Poland

23.   Portugal

24.   Romania

25.   Slovakia

26.   Slovenia

27.   Spain

28.   Turkiye

29.   United Kingdom

30.   United States

31.   Finland 2023

32.  Sweden 2024

NATO full form: North Atlantic Treaty Organization

Founded: 4 April 1949 (Washington, USA)

Headquarters: Brussels, Belgium

Total members: 32 (30 European & 2 North American countries)

Latest Member: Finland

NATO Type: Military Alliance

NATO Official Languages: English & French

Founding members: 12

Pakistan: Not a NATO member

Member Muslim country: Turkiye 

Explanation

Samina Baig summited the mighty K2 along with her team members and became the first ever Pakistani woman to scale the K2 on 22 July 2022.

Samina Baig belongs to Gilgit Valley