Matrix Addition, Subtraction, and Scalar Multiplication Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Compute 2[4−3]2\begin{bmatrix} 4 \\ -3 \end{bmatrix}.

Solution

  1. 1
    Multiply each entry by 2: [8−6]\begin{bmatrix} 8 \\ -6 \end{bmatrix}.
  2. 2
    Check: 2×4=82 \times 4 = 8, 2×(−3)=−62 \times (-3) = -6 ✓

Answer

[8−6]\begin{bmatrix} 8 \\ -6 \end{bmatrix}
Scalar multiplication scales every entry in the matrix (or vector) by the scalar value, preserving the direction while changing the magnitude.

About Matrix Addition, Subtraction, and Scalar Multiplication

Matrix addition and subtraction are performed entry by entry on matrices of the same dimensions. Scalar multiplication multiplies every entry of a matrix by a single number (the scalar).

Learn more about Matrix Addition, Subtraction, and Scalar Multiplication →

More Matrix Addition, Subtraction, and Scalar Multiplication Examples

Example 1 easy

Compute [formula].

Example 2 medium

Compute [formula].

Example 4 medium

If [formula] and [formula], find [formula].

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