123 123Calculator

Matrix by Scalar Calculator

With this matrix by scalar calculator, you'll discover how to multiply a matrix by a number.

One row per line, values separated by commas or spaces.
Clear
Scaled by3result below
Size2×2
Determinant scales by9k^n for an n×n matrix, not k
New determinant90

Result

1221
618

The method

multiply every entry by the scalar

The determinant scales by kⁿ

Doubling every entry of a 2×2 matrix quadruples its determinant, and of a 3×3 multiplies it by eight. Each of the n rows contributes a factor of k, so det(kA) = kⁿ det(A) — a common source of error.