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Types Of Matrices
Question 1
Which of the following describes a matrix that contains only one row and any number of columns?
- A
Column Matrix
- B
Row Matrix
- C
Square Matrix
- D
Diagonal Matrix
Question 2
What is the characteristic of a diagonal matrix?
- A
All elements are non-zero.
- B
All elements are zero except the diagonal.
- C
The number of rows and columns are unequal.
- D
It contains only one column.
Question 3
In which type of matrix are all diagonal elements equal to one, while all other elements are zero?
- A
Scalar Matrix
- B
Identity Matrix
- C
Null Matrix
- D
Upper Triangular Matrix
Question 4
Which type of matrix is defined as having a determinant equal to zero?
- A
Non-Singular Matrix
- B
Singular Matrix
- C
Orthogonal Matrix
- D
Symmetric Matrix
Question 5
Which of the following matrices has the property that its transpose is equal to its inverse ( A-1 = AT) ?
- A
Skew Symmetric Matrix
- B
Orthogonal Matrix
- C
Diagonal Matrix
- D
Triangular Matrix
Question 6
Which type of matrix has all its entries equal to zero?
- A
Null Matrix
- B
Identity Matrix
- C
Diagonal Matrix
- D
Singular Matrix
Question 7
Which of the following matrices is orthogonal?
- A
[Tex]\begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix}[/Tex]
- B
[Tex]\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}[/Tex]
- C
[Tex]\begin{pmatrix} \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} \\ -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} \end{pmatrix}[/Tex]
- D
All of the Above
Question 8
What distinguishes a triangular matrix from other matrices?
- A
It has non-zero elements only on the diagonal.
- B
It has all elements below (or above) the diagonal as zero.
- C
It has an equal number of rows and columns.
- D
It is always a square matrix.
Question 9
Let A be a 2 × 2 matrix such that ATA = 4I. What type of matrix is (1/2) A?
- A
Singular
- B
Orthogonal
- C
Diagonal
- D
Skew-symmetric
Question 10
Which of the following matrices is not invertible?
- A
[Tex]\begin{pmatrix} 2 & 0 \\ 0 & 3 \end{pmatrix}[/Tex]
- B
[Tex]\begin{pmatrix} 1 & 2 \\ 2 & 4 \end{pmatrix}[/Tex]
- C
[Tex]\begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix}[/Tex]
- D
[Tex]\begin{pmatrix} 5 & 0 \\ 0 & 5 \end{pmatrix}[/Tex]
There are 10 questions to complete.
