Matrix by Scalar Calculator
MathMultiply a 2x2 matrix by a scalar value.
Result, Row 1 Col 1
The (1,1) entry of the scaled matrix, a times k.
Result, Row 1 Col 2
10.0000
The (1,2) entry of the scaled matrix, b times k.
Result, Row 2 Col 1
15.0000
The (2,1) entry of the scaled matrix, c times k.
Result, Row 2 Col 2
20.0000
The (2,2) entry of the scaled matrix, d times k.
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Odeh Ahwal0people find this calculator helpful
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Frequently Asked Questions
How do you multiply a matrix by a scalar?
Multiply every single entry of the matrix by the scalar value. Unlike matrix-by-matrix multiplication, scalar multiplication is simple element-wise scaling.
What does scalar multiplication do geometrically?
It uniformly stretches or shrinks the transformation the matrix represents. A scalar greater than 1 stretches, between 0 and 1 shrinks, and a negative scalar also flips direction.
How does this affect the matrix's determinant?
For an n x n matrix scaled by k, the determinant scales by k^n. For this 2x2 case, scaling the matrix by k multiplies its determinant by k^2.
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