3×4 Matrix Transpose Calculator
Transpose a 3×4 matrix online. Enter your entries and get the 4×3 transpose instantly, with each row of Aᵀ built from the matching column of A.
Enter a 3×4 matrix below and read off its 4×3 transpose. The grid is already sized for you, and every entry updates the result as you type.
What changes and what does not
Transposing a 3×4 matrix produces a 4×3 matrix. The entries themselves are untouched — only their positions change, with aij moving to (j, i). Entries on the main diagonal stay exactly where they are, which is why only square matrices can be symmetric.
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Frequently asked questions
What are the dimensions of a 3×4 matrix after transposing? ▾
A 3×4 matrix transposes to a 4×3 matrix, because transposing swaps the number of rows and columns.
How do you transpose a 3×4 matrix by hand? ▾
Write the first row of the original as the first column of the result, the second row as the second column, and so on until all 3 rows have become columns.
Can a 3×4 matrix be symmetric? ▾
No. Symmetry requires A = Aᵀ, and a 3×4 matrix transposes to a 4×3 matrix, so the two cannot be equal. Only square matrices can be symmetric.
About this Calculator
Transpose a 3×4 matrix online. Enter your entries and get the 4×3 transpose instantly, with each row of Aᵀ built from the matching column of A.