Practice Questions on Determinant of Square Matrix
Q1: Find the determinant of matrix X = [Tex]\begin{bmatrix} 12 & 8\\ 14& 23 \end{bmatrix}[/Tex]
Q2: Determine the determinant of matrix P = [Tex]\begin{bmatrix} 20 & 15 & 10\\ 7& -11& 19\\ -4& 13& 6 \end{bmatrix}[/Tex]
Q3: Find the determinant of 4Ă—4 matrix A = [Tex]\begin{bmatrix} 0 & 5 & 3&-1\\ 3& -12& 9&6\\ -4& 0& 16& 2\\ 0&6& 8&-7 \end{bmatrix}[/Tex]
Q4: What is the determinant of matrix Q = [Tex] \begin{bmatrix} 0 & -5 \\ 3& -12\\ \end{bmatrix} [/Tex]
Determinant of a Square Matrix
Determinant of a square matrix is the scalar value or number calculated using the square matrix. The determinant of square matrix X is represented as |X| or det(X). In this article we will explore the determinant of square matrix in detail along with the determinant definition, determinant representation and determinant formula.
We will also discuss how to find determinant and solve some examples related to the determinant of a square matrix. Let’s start our learning on the topic “Determinant of a Square Matrix”.
Table of Content
- What is Square Matrix?
- What is Determinant of a Square Matrix?
- Determinant Representation
- Determinant Formula for 2Ă—2 Square Matrix
- Determinant Formula for 3Ă—3 Square Matrix
- How to Find Determinant for n Ă— n Square Matrix
- Solved Examples
- Practice Questions
- FAQs