Matrix Calculator
Perform matrix operations like addition, subtraction, and multiplication.
Matrix A
Matrix B
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Perform Advanced Matrix Operations
Our Matrix Calculator allows you to perform a variety of operations on matrices, including addition, subtraction, multiplication, and finding the determinant, inverse, or transpose.
What is a Matrix Calculator?
A Matrix Calculator is a tool for performing operations from linear algebra. It allows you to work with matrices (rectangular arrays of numbers) by adding, subtracting, or multiplying them. It also supports more advanced unary operations like finding the determinant, inverse, or transpose of a matrix. This calculator is invaluable for students, engineers, and scientists who work with systems of linear equations and data transformations.
How It Works: Matrix Algebra
The calculator uses a powerful math library to perform matrix algebra according to standard mathematical rules. Addition and subtraction are performed element-wise, while multiplication involves the more complex dot product of rows and columns.
Frequently Asked Questions
How do you multiply two matrices?
To multiply two matrices, you take the dot product of the rows of the first matrix and the columns of the second matrix. The number of columns in the first matrix must be equal to the number of rows in the second. Our calculator handles these complex multiplications for you.
What is the determinant of a matrix?
The determinant is a special number that can be calculated from a square matrix. It is useful for solving systems of linear equations, finding the inverse of a matrix, and in calculus for changes of variables. A determinant of 0 means the matrix is singular and has no inverse.
What is the inverse of a matrix?
The inverse of a square matrix A, denoted A⁻¹, is the matrix that, when multiplied by A, results in the identity matrix. The inverse only exists if the determinant of the matrix is non-zero.
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