The solution to matrix B - 2C is
|-4 1|
= |-14 0|
|-10 25|
What is scalar multiplication of matrix?
Scalar multiplication of a matrix involves multiplying each element of the matrix by a scalar (constant) value.
Given
|12 1| |8 0|
B= |-6 4| C = |4 2|
|2 15| |6 -5|
Multiply matrix with scalar 2. Each elements in the matrix is multiplied by 2.
|16 0|
2C = |8 4|
|12 -10|
Therefore,
B - 2C
The elements of matrix 2C is subtraction is subtracted from its corresponding element in matrix B.
B - 2C is simplified as follows
|12 1| |16 0|
B= |-6 4| - |8 4|
|2 15| |12 -10|
|-4 1|
= |-14 0|
|-10 25|