02:37

Matrices and Determinants

Introductionof Matrices

A matrix (plural: matrices) 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, … or by an italicized version of the same letters in roman type. The numbers in the matrix are the matrix elements or entries. The horizontal lines dividing the matrix are called "horizontal" or "main" (or "column") "dividers" or "main diagonals" (or "column diagonals"), and the vertical lines dividing the matrix are called "vertical" or "main" (or "row") "dividers" or "main diagonals" (or "row diagonals"). The entries of the matrix are sometimes referred to as "elements" or "entries". The number of entries in each row (or column) is called the "dimension" of the matrix.

Whitney Dillinger

Add Subtract Multiply Matricesbya Scalar

Add Subtract Multiply Matricesbya Scalar

Determinants

Identityand Inverse Matrices

Introductionof Matrices

Multiply Matrices

Solving Equations Involving Matrices

Solving Systems Using Inverse Matrices

Add Subtract Multiply Matricesbya Scalar - Example 1

Add Subtract Multiply Matricesbya Scalar - Example 1

Determinants - Example 1

Identityand Inverse Matrices - Example 1

Introductionof Matrices - Example 1

Multiply Matrices - Example 1

Solving Equations Involving Matrices - Example 1

Solving Systems Using Inverse Matrices - Example 1

Add Subtract Multiply Matricesbya Scalar - Example 2

Add Subtract Multiply Matricesbya Scalar - Example 2

Determinants - Example 2

Identityand Inverse Matrices - Example 2

Introductionof Matrices - Example 2

Multiply Matrices - Example 2

Solving Equations Involving Matrices - Example 2

Solving Systems Using Inverse Matrices - Example 2

Add Subtract Multiply Matricesbya Scalar - Example 3

Add Subtract Multiply Matricesbya Scalar - Example 3

Determinants - Example 3

Identityand Inverse Matrices - Example 3

Introductionof Matrices - Example 3

Multiply Matrices - Example 3

Solving Equations Involving Matrices - Example 3

Solving Systems Using Inverse Matrices - Example 3

Add Subtract Multiply Matricesbya Scalar - Example 4

Add Subtract Multiply Matricesbya Scalar - Example 4

Determinants - Example 4

Identityand Inverse Matrices - Example 4

Introductionof Matrices - Example 4

Multiply Matrices - Example 4

Solving Equations Involving Matrices - Example 4

Solving Systems Using Inverse Matrices - Example 4