Matrix Calculator
Perform matrix operations such as addition, subtraction, multiplication, determinant calculation, and finding inverse matrices with our free online calculator.
Category: Calculator
Matrix Calculator
Perform operations on matrices including addition, subtraction, multiplication, and more.
Matrix A
Matrix B
Frequently Asked Questions
What is a matrix?
A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. Matrices are used in linear algebra to represent linear transformations, solve systems of linear equations, and model various mathematical and physical phenomena.
What operations can you perform with matrices?
Common matrix operations include addition and subtraction (for matrices of the same dimensions), multiplication (where the number of columns in the first matrix must equal the number of rows in the second), finding the determinant (for square matrices), calculating the inverse (for non-singular square matrices), and finding the transpose.
How do you calculate the determinant of a matrix?
For a 2×2 matrix [[a,b],[c,d]], the determinant is calculated as ad-bc. For larger matrices, determinants are calculated using methods like cofactor expansion or elimination. The determinant helps determine if a matrix is invertible (non-zero determinant) and is used in solving systems of linear equations.