How to do Scalar Multiplication on a Matrix in R

How to do Scalar Multiplication on a Matrix in R ?

Answer

To perform scalar multiplication on a matrix in R, you simply multiply the matrix by a scalar value using the * operator. This operation multiplies every element of the matrix by the scalar value.


✐ Examples

1 Multiplying a 2x2 Matrix by a Scalar

In this example,

  1. We create a matrix named matrix with values from 1 to 4 arranged in 2 rows and 2 columns using the matrix() function.
  2. The matrix() function takes a vector of values and the arguments nrow and ncol to specify the number of rows and columns respectively.
  3. We define a scalar value named scalar and set it to 2.
  4. We use the * operator to multiply matrix by scalar. The multiplication is performed element-wise, meaning each element of the matrix is multiplied by the scalar.
  5. The resulting matrix is stored in a variable named result_matrix.
  6. Finally, we print the value of result_matrix to standard output to see the result of the scalar multiplication.

R Program

matrix <- matrix(1:4, nrow = 2, ncol = 2)
scalar <- 2
result_matrix <- matrix * scalar
print(result_matrix)

Output

     [,1] [,2]
[1,]    2    4
[2,]    6    8

2 Multiplying a 3x3 Matrix by a Scalar

In this example,

  1. We create a matrix named matrix with values from 1 to 9 arranged in 3 rows and 3 columns using the matrix() function.
  2. The matrix() function takes a vector of values and the arguments nrow and ncol to specify the number of rows and columns respectively.
  3. We define a scalar value named scalar and set it to 3.
  4. We use the * operator to multiply matrix by scalar. The multiplication is performed element-wise, meaning each element of the matrix is multiplied by the scalar.
  5. The resulting matrix is stored in a variable named result_matrix.
  6. Finally, we print the value of result_matrix to standard output to see the result of the scalar multiplication.

R Program

matrix <- matrix(1:9, nrow = 3, ncol = 3)
scalar <- 3
result_matrix <- matrix * scalar
print(result_matrix)

Output

     [,1] [,2] [,3]
[1,]    3    6    9
[2,]   12   15   18
[3,]   21   24   27

3 Multiplying a 4x4 Matrix by a Scalar

In this example,

  1. We create a matrix named matrix with values from 1 to 16 arranged in 4 rows and 4 columns using the matrix() function.
  2. The matrix() function takes a vector of values and the arguments nrow and ncol to specify the number of rows and columns respectively.
  3. We define a scalar value named scalar and set it to 4.
  4. We use the * operator to multiply matrix by scalar. The multiplication is performed element-wise, meaning each element of the matrix is multiplied by the scalar.
  5. The resulting matrix is stored in a variable named result_matrix.
  6. Finally, we print the value of result_matrix to standard output to see the result of the scalar multiplication.

R Program

matrix <- matrix(1:16, nrow = 4, ncol = 4)
scalar <- 4
result_matrix <- matrix * scalar
print(result_matrix)

Output

     [,1] [,2] [,3] [,4]
[1,]    4    8   12   16
[2,]   20   24   28   32
[3,]   36   40   44   48
[4,]   52   56   60   64

Summary

In this tutorial, we learned How to do Scalar Multiplication on a Matrix in R language with well detailed examples.


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