Matrix Calculator

A matrix is a rectangular array of numbers arranged in rows and columns. Matrix operations follow specific rules that differ from regular arithmetic, particularly multiplication where order matters (AB does not equal BA in most cases).

1. 1

   Set Dimensions

   Specify the number of rows and columns for your matrix

2. 2

   Enter Values

   Input the matrix elements in the appropriate cells

3. 3

   Select Operation

   Choose the operation: add, subtract, multiply, transpose, determinant, or trace

4. 4

   Add Second Matrix

   For binary operations, enter the second matrix

5. 5

   Calculate

   Click calculate to view the result

• 1

  For multiplication, columns of first matrix must equal rows of second matrix

• 2

  Determinant only exists for square matrices (n x n)

• 3

  Transpose swaps rows and columns of a matrix

• 4

  Trace is the sum of diagonal elements in a square matrix

• Assuming matrix multiplication is commutative - A x B does not equal B x A in most cases

• Multiplying matrices with incompatible dimensions - check that columns of A equal rows of B

• Trying to calculate determinant of non-square matrix - determinant requires square matrices

• Confusing scalar multiplication with matrix multiplication - different operations