Matrices

This course begins with an introduction to what matrices are. It discusses the definition of matrices, the order of matrices, the different types of matrices, and the equality of matrices. The next section covers the different types of matrices. It also covers the properties of matrix addition, subtraction, scalar multiplication of a matrix. It also explains the meaning of symmetric and skew-symmetric matrices. The next section introduces the topic of the elementary operation of a matrix. It discusses the different rules for performing the elementary operation. This section explains the meaning of invertible matrices. It also explains how to find the inverse of a matrix using the elementary operations. The course includes how to solve matrix equations, how to find the coefficient of matrix, problems on determinants of matrix.

15 topics

337 lectures

Educators

LL

Course Curriculum

40 videos

Powers and Polynomial

25 videos

Rational Numbers

11 videos

41 videos

Exponential Functions

15 videos

61 videos

Parametric Equations

5 videos

Introduction to Vectors

15 videos

15 videos

Polar Coordinates

5 videos

30 videos

Introduction to Conic Sections

23 videos

15 videos

Introduction to Combinatorics and Probability

16 videos

Introduction to Sequences and Series

20 videos

Matrices Lectures

Matrices

Inverses Of Matrices - Overview

In mathematics, the inverse of a square matrix is another matrix, which, when multiplied by the original matrix, gives the identity matrix.

Lily An

Matrices

Inverses Of Matrices - Example 1

In mathematics, the inverse of a square matrix is another matrix, which, when multiplied by the original matrix, gives the identity matrix.

Lily An

Matrices

Inverses Of Matrices - Example 2

In mathematics, the inverse of a square matrix is another matrix, which, when multiplied by the original matrix, gives the identity matrix.

Lily An

Matrices

Inverses Of Matrices - Example 3

In mathematics, the inverse of a square matrix is another matrix, which, when multiplied by the original matrix, gives the identity matrix.

Lily An

Matrices

Inverses Of Matrices - Example 4

In mathematics, the inverse of a square matrix is another matrix, which, when multiplied by the original matrix, gives the identity matrix.

Lily An

Matrices

Matrix Equations - Overview

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix can be used to define a linear transformation, that is, a way of transforming a vector into another vector by multiplying the vector by the matrix. For example, the 2 × 2 matrix above can be used to define the linear transformation that maps the vector (1, 2) to the vector (5, 7).

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Matrices

Matrix Equations - Example 1

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix can be used to define a linear transformation, that is, a way of transforming a vector into another vector by multiplying the vector by the matrix. For example, the 2 × 2 matrix above can be used to define the linear transformation that maps the vector (1, 2) to the vector (5, 7).

Lily An

Matrices

Matrix Equations - Example 2

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix can be used to define a linear transformation, that is, a way of transforming a vector into another vector by multiplying the vector by the matrix. For example, the 2 × 2 matrix above can be used to define the linear transformation that maps the vector (1, 2) to the vector (5, 7).

Lily An

Matrices

Matrix Equations - Example 3

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix can be used to define a linear transformation, that is, a way of transforming a vector into another vector by multiplying the vector by the matrix. For example, the 2 × 2 matrix above can be used to define the linear transformation that maps the vector (1, 2) to the vector (5, 7).

Lily An

Matrices

Matrix Equations - Example 4

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix can be used to define a linear transformation, that is, a way of transforming a vector into another vector by multiplying the vector by the matrix. For example, the 2 × 2 matrix above can be used to define the linear transformation that maps the vector (1, 2) to the vector (5, 7).

Lily An

Matrices

Add And Subtract Matrices - Overview

In mathematics, matrix addition is an operation that adds two matrices together, producing a third matrix. To add and subtract two matrices, they should have same dimensions.

Lily An

Matrices

Add And Subtract Matrices - Example 1

In mathematics, matrix addition is an operation that adds two matrices together, producing a third matrix. To add and subtract two matrices, they should have same dimensions.

Lily An

Matrices

Add And Subtract Matrices - Example 2

In mathematics, matrix addition is an operation that adds two matrices together, producing a third matrix. To add and subtract two matrices, they should have same dimensions.

Lily An

Matrices

Add And Subtract Matrices - Example 3

In mathematics, matrix addition is an operation that adds two matrices together, producing a third matrix. To add and subtract two matrices, they should have same dimensions.

Lily An

Matrices

Add And Subtract Matrices - Example 4

In mathematics, matrix addition is an operation that adds two matrices together, producing a third matrix. To add and subtract two matrices, they should have same dimensions.

Lily An

Matrices

Matrix Multiplication - Overview

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix is usually denoted by boldface capital letters A, B, C, and so on. The number of rows is denoted by "m", and the number of columns is denoted by "n". A matrix with "m" rows and "n" columns is an "m"×"n" matrix.

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Matrices

Matrix Multiplication - Example 1

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix is usually denoted by boldface capital letters A, B, C, and so on. The number of rows is denoted by "m", and the number of columns is denoted by "n". A matrix with "m" rows and "n" columns is an "m"×"n" matrix.

Lily An

Matrices

Matrix Multiplication - Example 2

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix is usually denoted by boldface capital letters A, B, C, and so on. The number of rows is denoted by "m", and the number of columns is denoted by "n". A matrix with "m" rows and "n" columns is an "m"×"n" matrix.

Lily An

Matrices

Matrix Multiplication - Example 3

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix is usually denoted by boldface capital letters A, B, C, and so on. The number of rows is denoted by "m", and the number of columns is denoted by "n". A matrix with "m" rows and "n" columns is an "m"×"n" matrix.

Lily An

Matrices

Matrix Multiplication - Example 4

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix is usually denoted by boldface capital letters A, B, C, and so on. The number of rows is denoted by "m", and the number of columns is denoted by "n". A matrix with "m" rows and "n" columns is an "m"×"n" matrix.

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Matrices

Determinant Of Matrices - Overview

In linear algebra, the determinant is a useful value for evaluating the volume of a parallelepiped (a three-dimensional generalization of a parallelogram) in terms of the area of its bases and the lengths of its sides. For a 2-by-2 square matrix, the determinant is also called the signed area and is denoted by |A|. The determinant is an example of a characteristic polynomial of a matrix. The determinant of a matrix A is denoted det(A).

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Matrices

Determinant Of Matrices - Example 1

In linear algebra, the determinant is a useful value for evaluating the volume of a parallelepiped (a three-dimensional generalization of a parallelogram) in terms of the area of its bases and the lengths of its sides. For a 2-by-2 square matrix, the determinant is also called the signed area and is denoted by |A|. The determinant is an example of a characteristic polynomial of a matrix. The determinant of a matrix A is denoted det(A).

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Matrices

Determinant Of Matrices - Example 2

In linear algebra, the determinant is a useful value for evaluating the volume of a parallelepiped (a three-dimensional generalization of a parallelogram) in terms of the area of its bases and the lengths of its sides. For a 2-by-2 square matrix, the determinant is also called the signed area and is denoted by |A|. The determinant is an example of a characteristic polynomial of a matrix. The determinant of a matrix A is denoted det(A).

Lily An

Matrices

Determinant Of Matrices - Example 3

In linear algebra, the determinant is a useful value for evaluating the volume of a parallelepiped (a three-dimensional generalization of a parallelogram) in terms of the area of its bases and the lengths of its sides. For a 2-by-2 square matrix, the determinant is also called the signed area and is denoted by |A|. The determinant is an example of a characteristic polynomial of a matrix. The determinant of a matrix A is denoted det(A).

Lily An

Matrices

Determinant Of Matrices - Example 4

In linear algebra, the determinant is a useful value for evaluating the volume of a parallelepiped (a three-dimensional generalization of a parallelogram) in terms of the area of its bases and the lengths of its sides. For a 2-by-2 square matrix, the determinant is also called the signed area and is denoted by |A|. The determinant is an example of a characteristic polynomial of a matrix. The determinant of a matrix A is denoted det(A).

Lily An

Matrices

Coefficients In Matrices - Overview

In mathematics, the coefficients of a matrix are the values of the entries in the matrix. The coefficients can be numbers or expressions, and can be entered in any order. A coefficient matrix is a matrix whose coefficients are all zero except for the main diagonal.

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Matrices

Coefficients In Matrices - Example 1

In mathematics, the coefficients of a matrix are the values of the entries in the matrix. The coefficients can be numbers or expressions, and can be entered in any order. A coefficient matrix is a matrix whose coefficients are all zero except for the main diagonal.

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Matrices

Coefficients In Matrices - Example 2

In mathematics, the coefficients of a matrix are the values of the entries in the matrix. The coefficients can be numbers or expressions, and can be entered in any order. A coefficient matrix is a matrix whose coefficients are all zero except for the main diagonal.

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Matrices

Coefficients In Matrices - Example 3

In mathematics, the coefficients of a matrix are the values of the entries in the matrix. The coefficients can be numbers or expressions, and can be entered in any order. A coefficient matrix is a matrix whose coefficients are all zero except for the main diagonal.

Lily An

Matrices

Coefficients In Matrices - Example 4

In mathematics, the coefficients of a matrix are the values of the entries in the matrix. The coefficients can be numbers or expressions, and can be entered in any order. A coefficient matrix is a matrix whose coefficients are all zero except for the main diagonal.

Lily An