Properties_of_matrix_addition_scalar_multiplication
Learn about zero matrices and about how matrix addition, subtraction, and scalar multiplication are related to their corresponding operations with real numbers.
Learn what the determinant of a matrix is and how to find it for 2x2 matrices.
Multiplying_matrices_by_matrices
Learn how to find the result of a multiplication of two matrices.
Learn what matrices are and about their parts (coordinates and dimensions).
Solving_equations_with_inverse_matrices
Learn how to solve systems of linear equations using inverse matrices, and how to solve matrix equations using inverse matrices.
Multiplying_matrices_by_scalars
Learn how to multiply matrices by scalars (in the world of matrices, scalars are simply regular numbers). For example, multiply a 2X2 matrix by 3.
Learn how to add and subtract two matrices to obtain a new matrix (just like numbers!).
Learn how matrices can be used as transformations of vectors or transformations of the plane.
Row_echelon_form_Gaussian_elimination
Learn how to use the matrix row operations in order to easily solve large systems of linear equations.
Introduction_to_matrix_inverses
Learn what the inverse of a matrix is, and how to determine whether two matrices are inverses or whether a matrix is invertible.
Practice_finding_the_inverses_of_2x2_matrices
After you've learned how to find the inverse of a 2x2 matrix, gain some practice with it.
Model_real_world_situations_with_matrices
Learn how matrices can be used to describe real-world situations.
Elementary_matrix_row_operations
Learn about the three basic operations we can perform on a matrix without changing the solution set of the linear system it represents.
Determinants_inverses_of_large_matrices
Learn how to find the determinants and the inverses of matrices with dimensions 3x3 or larger.
Finding_the_inverse_of_a_matrix_using_its_determinant
Learn about a way to find the inverse of a matrix using its determinant and adjuagates.
Representing_linear_systems_of_equations_with_augmented_matrices
Learn how systems of linear equations with multiple variables are represented with matrices.
Properties_of_matrix_multiplication
Learn about identity matrices and about how matrix multiplication relates to real number multiplication (spoiler: the distributive property applies but the commutative property does not!).
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