[[19,22],[43,50]]
Matrix Calculator
Use this free matrix calculator for 2x2 and 3x3 matrix addition, subtraction, multiplication, transpose, and determinant calculations with steps, examples, copy, and history.
2x2 and 3x3 Multiply matrices Determinants Transpose
Matrix A
Matrix B
Multiply 2x2[19, 22] [43, 50]
- Operation
- Multiply
- Size
- 2x2
- Uses Matrix B
- Yes
Steps
- Multiply each row of Matrix A by each column of Matrix B.
- Add each row-column product to fill the matching result entry.
- The result is [19, 22] [43, 50].
How to use the matrix calculator
- Choose 2x2 or 3x3 matrix size.
- Choose add, subtract, multiply, determinant, or transpose.
- Enter Matrix A and Matrix B when the operation needs both matrices.
- Press Calculate matrix to see the result, steps, examples, copy, and history.
Common uses
Check 2x2 and 3x3 matrix addition or subtraction problems.
Multiply square matrices while seeing row-by-column steps.
Find determinants for 2x2 and 3x3 matrices.
Transpose a matrix for algebra, precalculus, or linear algebra practice.
Examples
-2
-306
Frequently asked questions
Quick answers about matrix operations, multiplication order, determinants, supported sizes, and privacy.
What matrix operations are supported?
The Matrix Calculator supports addition, subtraction, multiplication, determinant, and transpose for 2x2 and 3x3 square matrices.
Does order matter for matrix multiplication?
Yes. Matrix multiplication is order-sensitive. A x B can be different from B x A because each result entry uses rows from the first matrix and columns from the second.
What is a determinant?
A determinant is a single value calculated from a square matrix. For a 2x2 matrix [[a,b],[c,d]], the determinant is ad - bc.
Can this solve systems of equations?
Not yet. This version focuses on core matrix operations. Systems of equations can be a later tool or future expansion.
Can I use decimals or negative values?
Yes. Matrix entries can be positive, negative, whole, or decimal numbers.
Is my matrix history private?
Yes. Recent matrix answers stay only in the current browser tab while you use the page. They are not sent to a server.
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