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Matrix Calculator

Perform operations on custom matrices up to 5x5, including transposes, determinants, inverses, and scalars.

×
×
Matrix A (3 × 3)
Matrix B (3 × 3)
Calculation Output
223
024
561
Step-by-Step Matrix Arithmetic
Step 1: Add corresponding elements of A and B:
Result[0,0] = 1 + 1 = 2
Dimension Verification
Matrix A:3 × 3
Matrix B:3 × 3

Understanding Matrix Algebra

Matrices compose linear equation networks. Matrix multiplication requires matching inner dimensions: the columns of A must match the rows of B.

Inverting matrices divides transposed cofactor (adjugate) values by the determinant. If determinants resolve to zero, the matrix is singular and cannot be inverted.

Private & free — this tool runs entirely in your browser.

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