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Matrix and Determinant

44 posts

Introduction to Determinants

Last Updated: 09 June 2026

The determinant of a matrix is a scalar value that can be calculated for a square matrix (a matrix with the same number of rows and columns). It serves as a scaling factor...read more

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Matrix and Determinant

Properties of Transpose of Matrix

Last Updated: 23 July 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

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

Last Updated: 23 July 2025

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

School Learning

Matrix and Determinant

Practice Questions on Subtraction of Matrices

Last Updated: 23 July 2025

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

Transformation Matrix

Last Updated: 08 August 2025

Transformation matrices are fundamental in linear algebra and play a key role in areas like computer graphics, image processing, and more. They allow us to apply operation...read more

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School Learning

Matrix and Determinant

Non Singular Matrix

Last Updated: 24 October 2025

A non-singular matrix (also called an invertible matrix) is a square matrix whose determinant is a non-zero value.It is used to find the inverse of a matrix. The condition...read more

School Learning

Matrix and Determinant

How to Find Rank of a 3x3 Matrix

Last Updated: 23 July 2025

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

Determinant of a Square Matrix

Last Updated: 23 July 2025

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

Rotation Matrix

Last Updated: 23 July 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

Methods to Find Rank of a Matrix

Last Updated: 23 July 2025

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

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

Determinant of 4x4 Matrix

Last Updated: 17 November 2025

The determinant of a matrix is a single numerical value that can be calculated from a square matrix (a matrix with the same number of rows and columns). It tells us import...read more

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School Learning

Matrix and Determinant

Linear Independence

Last Updated: 25 May 2026

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

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School Learning

Matrix and Determinant

Inverse of 2x2 Matrix

Last Updated: 07 March 2026

The 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...read more

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School Learning

Matrix and Determinant

Rank and Nullity

Last Updated: 23 August 2025

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

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