Complex Conjugate Matrix Calculator

Compute the complex conjugate of a matrix by replacing each entry a+bi with a−bi. Detects Hermitian matrices too.

Input

Enter each matrix row on its own line, separating entries with spaces or commas.

Complex matrix

Complex numbers can be written like 3+4i, -2i, i, or 5 (j may be used instead of i).

Matrix size

2 × 2

Square

Yes

Hermitian

Conjugate matrix

1 − 2i	3 + i
−4i	5 − 6i

Input matrix

1 + 2i	3 − i
4i	5 + 6i

The complex conjugate matrix is formed by replacing every entry a+bi with its complex conjugate a−bi. It is written as A with an overline.
The real part a is unchanged; only the sign of the imaginary part b is flipped. Real entries (zero imaginary part) stay the same.
Enter one matrix row per line, separating entries with spaces or commas. Complex numbers accept forms like 3+4i, -2i, i, or 5 (you can use j instead of i).
For a square matrix, if the original equals its conjugate transpose Aᴴ, the matrix is Hermitian. A Hermitian matrix always has real diagonal entries.
For display, an imaginary part with coefficient 1 is shown compactly as i or −i.

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