Define Scalar multiplication of matrices?

Cheyanne Leigh

Cheyanne Leigh

Answered question

2021-01-31

Define Scalar multiplication of matrices?

Answer & Explanation

brawnyN

brawnyN

Skilled2021-02-01Added 91 answers

Step 1
A scalar multiplication of a matrix is defined as the multiplication of that scalar value in all entries of matrix.
Step 2
For example,
Let us consider a 3×3 matrix with entries row wise
a11,a12,a13,a21,a22,a23,a31,a32 and a33 Now let a scalar b ε real number,
Matrix A define as
A=(a11a12a13a21a22a23a31a32a33)
Scalar multiplication define as,
b×A=(b×a11b×a12b×a13b×a21b×a22b×a23b×a31b×a32b×a33)
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-24Added 2605 answers

Answer is given below (on video)

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