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Matrices- PYQs | Engineering Mathematics
Last Updated: 05 September 2025
In examinations, questions on matrices are considered very important. Most PYQs are based on definitions, basic operations, and special properties of matrices. To solve su...
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Diagonalization of a Matrix
Last Updated: 02 September 2025
The process of converting a square matrix into diagonal form using a similarity transformation is called diagonalization. A matrix A is diagonalizable if there exists an i...
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Complex Matrices
Last Updated: 26 August 2025
A complex matrix is made up of complex numbers in the form x + iy, where i = √-1.A complex matrixA∈ Cm×nhas entriesaij = Real(aij) + i⋅Imaginary(aij) A complex matrix is ...
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Gauss Elimination Method
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The Gaussian Elimination Method is a fundamental algorithm in linear algebra used to solve systems of linear equations. By transforming a system into an upper triangular m...
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Linear Algebra in Computer Science
Last Updated: 05 August 2025
Linear algebra is a core mathematics discipline that has a fundamental role in many areas of computer science. It forms the mathematical foundation for numerous algorithms...
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LMNs -Linear Algebra
Last Updated: 23 July 2025
Linear algebra isthe study of linear combinations. It is the study of vector spaces, lines and planes, and some mappings that are required to perform the linear transforma...
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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...
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How to Multiply 3 × 3 Matrices
Last Updated: 23 July 2025
Matrix multiplication is a mathematical operation performed on two matrices that results in a single matrix, called the product matrix. It combines two matrices by followi...
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How to Multiply 2 × 2 Matrices
Last Updated: 23 July 2025
Matrix multiplication is a mathematical operation that combines two matrices to produce a new matrix, also known as the product matrix. This operation is defined for two m...
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Graphing Linear Inequalities
Last Updated: 23 July 2025
Graphing linear inequalities is a key skill in algebra, used to visualize solutions on the coordinate plane. It is essential for solving systems of inequalities, analyzing...
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Solve Systems of Equations Using Matrices
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A system of linear equations is a collection of two or more linear equations involving the same set of variables. It is a set of equations where each equation represents a...
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Properties of Eigenvalues
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Eigenvalues arethe special set of scalar values that is associated with the set of linear equations most probably in the matrix equations. The eigenvectors are also termed...
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Bilinear Form
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In mathematics, a bilinear form is a function that combines two vectors to the produce a scalar. It generalizes the concept of the dot product to the more abstract vector ...
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Quadratic Form of a Matrix
Last Updated: 23 July 2025
Quadratic Form of a Matrix is a mathematical concept that arises frequently in various fields such as linear algebra, statistics, and optimization. Essentially, a quadrati...
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Linear Combinations: Definition & Equation
Last Updated: 09 October 2025
Linear combination involves combining a set of vectors by multiplying each vector by a scalar (a real number) and then adding the results together. For example, if you hav...
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