FPSC Lecturer mathematics mcqs

Solution of linear equation 𝒂𝒙 = 𝒃 is:

a). 𝑥 = 𝑏𝑎⁻¹

b). 𝑥 = 𝑎⁻¹𝑏

c). 𝑥 = 𝑎𝑏

d). 𝑥𝑎 = 𝑏

(𝑨^𝒕)^𝒕 =

A). 𝐴𝑡

B).  𝐴

C).  – 𝐴

D).  (𝐴^𝑡)^𝑡

The set {𝟏, 𝑚, 𝑚^𝟐} where 𝒊 = √−𝟏 is closed 𝒘. 𝒓. 𝒕:

The matrix 𝑨 is said to be real if its all entries are:

A semi-group having an identity is called:

If a matrix A has 𝒎 rows and 𝒏 columns , then order of A is :

A rectangular array of numbers enclosed by a square brackets is called:

For every 𝒂, 𝒃 ∈ 𝑮 , 𝒂 ∗ 𝒃 = 𝒃 ∗ 𝒂 then 𝑮 is called:

In a group the inverse is:

For a square matrix 𝑨 = [𝒂_𝒊𝒋]if all 𝒂_𝒊𝒋 = 𝟎, 𝒊 ≠ 𝒋 and all 𝒂_𝒊𝒋 = 𝒌(𝒏𝒐𝒏 − 𝒛𝒆𝒓𝒐) for 𝒊 = 𝒋 then A is called:

(𝒁, . ) is

For the square matrix 𝑨 = [𝒂_𝒊𝒋]_𝒏×𝒏 then 𝒂_𝟏𝟏, 𝒂_𝟐𝟐, 𝒂_𝟑𝟑…𝒂_𝒏𝒏 are:

If a matrix A has different number of rows and columns then A is called:

Inverse and identity of a set 𝑺 under binary operation ∗ is:

In general matrix multiplication is not:

𝑵 is closed 𝒘. 𝒓. 𝒕:

The vertical lines of numbers in a matrix are called:

[𝟏 −𝟏     𝟑     𝟒] is an example of

The set {𝟏, −𝟏, 𝒊, −𝒊} is not closed 𝒘. 𝒓. 𝒕:

If order of matrix 𝑨 is 𝒎 × 𝒏 and order of matrix 𝑩 is 𝒏 × 𝒑 then order of matrix 𝑨𝑩 is

 Subtraction is non-commutative and non-associative on:

In group (𝒁, +) inverse of 1 is:

 The horizontal lines of numbers in a matrix are called:

 A square matrix 𝑨 is singular if

The set of natural number is not closed under binary operation: