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Operation with Matrices | Matrices
R Introduction: Part II
course content

Course Content

R Introduction: Part II

R Introduction: Part II

1. Matrices
2. Data Frames
3. Lists

bookOperation with Matrices

Good! Now we know how to create and customize matrices. It's time to consider the operations we can perform with matrices.

You can perform basic math operations with matrices. Performing a basic operation between a matrix and a single number will perform the respective operation for all matrix elements. For example, for the given matrix below...

...we can multiply each element by 3.

1234567
# Vector of integers num <- 1:9 # Matrix m <- matrix(num, nrow = 3, ncol = 3, byrow = T) # Multiply each matrix element by 3 m * 3
copy

As you can see, each matrix element was multiplied by 3. You can also use mean() and sum() functions for matrices. These functions will return the overall mean or total value, respectively. For example,

1234
num <- 1:9 m <- matrix(num, nrow = 3, ncol = 3, byrow = T) # Calculate overall mean mean(m)
copy

Additionally, you can also apply these functions to rows or columns separately. These functions are rowSums(), rowMeans(), colSums(), colMeans(). I think it's obvious what each function does according to their names. For example, let's calculate the column sums.

1234
num <- 1:9 m <- matrix(num, nrow = 3, ncol = 3, byrow = T) # Columns sums colSums(m)
copy

Let's practice a bit.

Task

Given matrix named m.

Your tasks are:

  1. Divide each element by 2, then add 1. Reassign the result to the m variable.
  2. Output the matrix m.
  3. Output the columns totals of the m matrix.
  4. Output mean value of all m elements.

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Everything was clear?

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Section 1. Chapter 6
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bookOperation with Matrices

Good! Now we know how to create and customize matrices. It's time to consider the operations we can perform with matrices.

You can perform basic math operations with matrices. Performing a basic operation between a matrix and a single number will perform the respective operation for all matrix elements. For example, for the given matrix below...

...we can multiply each element by 3.

1234567
# Vector of integers num <- 1:9 # Matrix m <- matrix(num, nrow = 3, ncol = 3, byrow = T) # Multiply each matrix element by 3 m * 3
copy

As you can see, each matrix element was multiplied by 3. You can also use mean() and sum() functions for matrices. These functions will return the overall mean or total value, respectively. For example,

1234
num <- 1:9 m <- matrix(num, nrow = 3, ncol = 3, byrow = T) # Calculate overall mean mean(m)
copy

Additionally, you can also apply these functions to rows or columns separately. These functions are rowSums(), rowMeans(), colSums(), colMeans(). I think it's obvious what each function does according to their names. For example, let's calculate the column sums.

1234
num <- 1:9 m <- matrix(num, nrow = 3, ncol = 3, byrow = T) # Columns sums colSums(m)
copy

Let's practice a bit.

Task

Given matrix named m.

Your tasks are:

  1. Divide each element by 2, then add 1. Reassign the result to the m variable.
  2. Output the matrix m.
  3. Output the columns totals of the m matrix.
  4. Output mean value of all m elements.

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

How can we improve it?

Thanks for your feedback!

Section 1. Chapter 6
toggle bottom row

bookOperation with Matrices

Good! Now we know how to create and customize matrices. It's time to consider the operations we can perform with matrices.

You can perform basic math operations with matrices. Performing a basic operation between a matrix and a single number will perform the respective operation for all matrix elements. For example, for the given matrix below...

...we can multiply each element by 3.

1234567
# Vector of integers num <- 1:9 # Matrix m <- matrix(num, nrow = 3, ncol = 3, byrow = T) # Multiply each matrix element by 3 m * 3
copy

As you can see, each matrix element was multiplied by 3. You can also use mean() and sum() functions for matrices. These functions will return the overall mean or total value, respectively. For example,

1234
num <- 1:9 m <- matrix(num, nrow = 3, ncol = 3, byrow = T) # Calculate overall mean mean(m)
copy

Additionally, you can also apply these functions to rows or columns separately. These functions are rowSums(), rowMeans(), colSums(), colMeans(). I think it's obvious what each function does according to their names. For example, let's calculate the column sums.

1234
num <- 1:9 m <- matrix(num, nrow = 3, ncol = 3, byrow = T) # Columns sums colSums(m)
copy

Let's practice a bit.

Task

Given matrix named m.

Your tasks are:

  1. Divide each element by 2, then add 1. Reassign the result to the m variable.
  2. Output the matrix m.
  3. Output the columns totals of the m matrix.
  4. Output mean value of all m elements.

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

How can we improve it?

Thanks for your feedback!

Good! Now we know how to create and customize matrices. It's time to consider the operations we can perform with matrices.

You can perform basic math operations with matrices. Performing a basic operation between a matrix and a single number will perform the respective operation for all matrix elements. For example, for the given matrix below...

...we can multiply each element by 3.

1234567
# Vector of integers num <- 1:9 # Matrix m <- matrix(num, nrow = 3, ncol = 3, byrow = T) # Multiply each matrix element by 3 m * 3
copy

As you can see, each matrix element was multiplied by 3. You can also use mean() and sum() functions for matrices. These functions will return the overall mean or total value, respectively. For example,

1234
num <- 1:9 m <- matrix(num, nrow = 3, ncol = 3, byrow = T) # Calculate overall mean mean(m)
copy

Additionally, you can also apply these functions to rows or columns separately. These functions are rowSums(), rowMeans(), colSums(), colMeans(). I think it's obvious what each function does according to their names. For example, let's calculate the column sums.

1234
num <- 1:9 m <- matrix(num, nrow = 3, ncol = 3, byrow = T) # Columns sums colSums(m)
copy

Let's practice a bit.

Task

Given matrix named m.

Your tasks are:

  1. Divide each element by 2, then add 1. Reassign the result to the m variable.
  2. Output the matrix m.
  3. Output the columns totals of the m matrix.
  4. Output mean value of all m elements.

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Section 1. Chapter 6
Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
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