## Matrices and determinants

**Introduction to the matrix**

**Matrix addition and subtraction 1**

**Scalar multiplication**

**Matrix multiplication intro**

**Multiplying a matrix by a matrix**

**Defined and undefined matrix operations**

**Identity matrix**

**Identity matrix dimensions**

**Commutative property matrix multiplication**

**Associative property matrix multiplication**

**Zero matrix**

**Matrix expressions**

**Identity zero matrix equation**

**Linear algebra transpose of a matrix**

**Linear algebra transpose of a matrix product**

**Linear algebra transposes of sums and inverses**

**Inverse matrix part 1**

**Singular matrices**

**Inverting matrices part 3**

**Finding the determinant of a 2x2 matrix**

**Finding the determinant of a 3x3 matrix method 2**

**Finding the determinant of a 3x3 matrix method 1**

**Linear algebra determinant when row multiplied by scalar**

**Linear algebra correction scalar muliplication of row**

**Linear algebra determinant when row is added**

**Linear algebra duplicate row determinant**

**Linear algebra determinant after row operations**

**Linear algebra upper triangular determinant**

**Inverting 3x3 part 1 calculating matrix of minors and cofactor matrix**

**Inverting 3x3 part 2 determinant and adjugate of a matrix**

**Matrix equations systems**

**Solving matrix equation**

**Matrices to solve a vector combination problem**

**Linear algebra deriving a method for determining inverses**

**Linear algebra example of finding matrix inverse**

**Linear algebra formula for 2x2 inverse**

**Linear algebra 3x3 determinant**

**Linear algebra nxn determinant**

**Linear algebra determinants along other rows cols**

**Linear algebra rule of sarrus of determinants**

**Linear algebra simpler 4x4 determinant**

**Linear algebra determinant and area of a parallelogram**

**Linear algebra determinant as scaling factor**

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You can master basic concepts, explore subjects further or reinforce your knowledge − at your own pace.

Wherever you are in your learning journey, here are links to free materials that may be useful to identify both your strengths and any knowledge gaps in key background subjects.