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Matrix and Determinant

43 posts

Algebra of Matrices

Last Updated: 23 September 2024

Matrices are the arrangement of numbers or any other mathematical elements in the form of rectangular arrays. Algebra of Matrices denotes the various algebraic operations ...read more

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Matrix and Determinant

Geeks Premier League 2023

Rank and Nullity

Last Updated: 11 March 2024

Rank and Nullity are essential concepts in linear algebra, particularly in the context of matrices and linear transformations. They help describe the number of linearly in...read more

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School Learning

Matrix and Determinant

Inverse of 2x2 Matrix

Last Updated: 10 March 2025

Inverse of a 2 × 2 Matrix is a matrix that, when multiplied by the original matrix, results in the identity matrix. It is an important concept in linear algebra and is use...read more

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School Learning

Matrix and Determinant

Linear Independence

Last Updated: 30 July 2024

Linear independence is a fundamental concept in mathematics that has numerous applications in fields like physics, engineering, and computer science. It is necessary for d...read more

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School Learning

Matrix and Determinant

Determinant of 4x4 Matrix | Examples and How to Find

Last Updated: 24 May 2024

Determinant of 4x4 Matrix: Determinant of a Matrix is a fundamental concept in linear algebra, essential for deriving a single scalar value from the matrix. 4x4 is a squar...read more

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School Learning

Matrix and Determinant

Practice Problems on Determinant using Elementary Operations

Last Updated: 16 May 2024

Using the properties of determinants and without expanding in Exercise 1 to 7, prove that: Question 1. \begin{vmatrix}x a x+a\\y b y+b\\z c z+c\end{vmatrix}=0 Sol...read more

School Learning

Matrix and Determinant

Methods to Find Rank of a Matrix

Last Updated: 03 June 2024

To find the rank of a matrix find the highest order of the non-zero minor within the matrix. Rank of a matrix in the number that represents the number of non-zeros rows or...read more

School Learning

Matrix and Determinant

Rotation Matrix

Last Updated: 14 June 2025

A Rotation Matrix is a type of transformation matrix used to rotate vectors in a Euclidean space. It applies matrix multiplication to transform the coordinates of a vector...read more

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School Learning

Matrix and Determinant

Determinant of a Square Matrix

Last Updated: 31 July 2024

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 thi...read more

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School Learning

Matrix and Determinant

How to Find Rank of a 3x3 Matrix

Last Updated: 29 July 2024

Rank of a matrix is equal to the number of linear independent rows or columns in it. The rank of the matrix is always less than or equal to the order of the matrix. In thi...read more

School Learning

Matrix and Determinant

Non Singular Matrix

Last Updated: 08 August 2024

Non-singular matrix is a square whose determinant is not zero. The non-singular matrices are also invertible matrices. In this article we will explore non-singular matrix ...read more

School Learning

Matrix and Determinant

Transformation Matrix

Last Updated: 20 May 2024

Transformation matrices are the core notions in linear algebra and these can help make advancements in many areas including computer graphics, image processing, and so on....read more

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School Learning

Matrix and Determinant

Practice Questions on Subtraction of Matrices

Last Updated: 15 July 2024

Subtraction of Matrices is one of the operations that are performed between two matrices. It is similar to addition of matrices. This article provides practice questions o...read more

School Learning

Matrix and Determinant

Practice Questions

How to Multiply a 3 × 3 Matrix with a 3 × 1 Matrix

Last Updated: 05 November 2024

Matrix multiplication is a way to combine two matrices (rectangular arrays of numbers) to create a new matrix.You can only multiply two matrices if the number of columns i...read more

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Matrix and Determinant

Properties of Transpose of Matrix

Last Updated: 22 January 2025

The transpose of a matrix is a new matrix that is formed by flipping the original matrix over its diagonal. This operation essentially switches the rows and columns of the...read more

School Learning

Matrix and Determinant