Basic MCQs on Matrix

Question 1: What is a matrix?

A) A single value

B) A collection of numbers arranged in rows and columns

C) A mathematical operation

D) A complex number

Answer: B) A collection of numbers arranged in rows and columns

Question 2: How is the size of a matrix specified?

A) By its area

B) By its volume

C) By its dimensions (rows × columns)

D) By the sum of its elements

Answer: C) By its dimensions (rows × columns)

Question 3: A matrix with the same number of rows and columns is called:

A) Rectangular matrix

B) Square matrix

C) Diagonal matrix

D) Identity matrix

Answer: B) Square matrix

Question 4: Which of the following is an identity matrix of size 3×3?

A) [[1, 1, 1], [1, 1, 1], [1, 1, 1]]

B) [[0, 0, 0], [0, 0, 0], [0, 0, 0]]

C) [[1, 0, 0], [0, 1, 0], [0, 0, 1]]

D) [[1, 2, 3], [4, 5, 6], [7, 8, 9]]

Answer: C) [[1, 0, 0], [0, 1, 0], [0, 0, 1]]

Question 5: In a matrix, the element in the 2nd row and 3rd column is referred to as:

A) Second element

B) Row 2, column 3 element

C) Element (2, 3)

D) Middle element

Answer: B) Row 2, column 3 element

Question 6: What is the transpose of a matrix?

A) A matrix with all elements as zeros

B) A matrix with reversed rows and columns

C) A matrix with only diagonal elements

D) A matrix with doubled elements

Answer: B) A matrix with reversed rows and columns

Question 7: A matrix with all its non-diagonal elements as zeros is called a:

A) Diagonal matrix

B) Zero matrix

C) Identity matrix

D) Square matrix

Answer: A) Diagonal matrix

Question 8: What is an augmented matrix used for?

A) To store large numbers

B) To perform matrix addition

C) To solve systems of linear equations

D) To represent complex numbers

Answer: C) To solve systems of linear equations

Question 9: What is a row matrix?

A) A matrix with a single column

B) A matrix with a single row

C) A matrix with all elements as zeros

D) A matrix with equal rows and columns

Answer: B) A matrix with a single row

Question 10: Which of the following is a column matrix?

A) [[1], [2], [3]]

B) [[1, 2, 3]]

C) [[1, 2, 3], [4, 5, 6], [7, 8, 9]]

D) [[1, 1, 1]]

Answer: A) [[1], [2], [3]]