Matrix by Scalar Calculator

Your details

The number that multiplies every element of the matrix. Can be any real number.
Top-left element of the matrix.
Top-right element of the matrix.
Bottom-left element of the matrix.
Bottom-right element of the matrix.
Result matrix B = k x A
[ 6 -3 ] [ 0 15 ]

The 2x2 product matrix with every element multiplied by k

B[1,1]6
B[1,2]-3
B[2,1]0
B[2,2]15
Scale factor3
B[1,1]6
B[1,2]-3
B[2,1]0
B[2,2]15

Scalar 3 applied to all 4 elements of the 2x2 matrix.

  • Each element is scaled up by a factor of 3.
  • det(A) = 10, det(B) = det(kA) = k^2 x det(A) = 9 x 10 = 90.
  • Scalar multiplication is distributive: k(A + B) = kA + kB, and associative: (jk)A = j(kA).

Next stepYou can use this result as input for matrix multiplication or to compute the determinant.

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