PART 8: Complex numbers, matrices, vectors

Part 8: complex numbers, matrices and vectors. Each has its own mode: MODE 3, MODE 5, and MODE 6.

▶ Watch this step in the video (1:41:21)

Complex numbers

Example 32: complex numbers. MODE 3 is COMPLEX mode. You can add, subtract, multiply, and divide complex numbers in rectangular form, in polar form, or with both forms mixed in one calculation.

Two forms
Add and subtract
? YOUR TURN
Polar form
Both forms in one calculation
Four functions of the MATH menu
The four functions inside a calculation
Good to know

Matrices

Example 34: matrices. MODE, 5 is MATRIX mode. It stores four matrices, mat A to mat D, of up to four rows and four columns.

The MATH menu in MATRIX mode
Enter a matrix and store it
A second matrix
Multiply two matrices
A function: change the dimensions
dim(matA, 3, 3)
A 3 by 3 matrix in matA
A second 3 by 3 matrix in matB
Add: matA + matB
Square: matB²
Inverse: matA⁻¹
The determinant: det
A product, kept in matC
The stored answer in a new calculation
Transpose: trans matA
A matrix times its inverse
Row echelon form: ref
Reduced row echelon form: rref
Matrix functions of the MATH menu
Good to know

Vectors

Example 35: vectors. MODE, 6 is VECTOR mode. It stores four vectors, vect A to vect D, with two or three elements, and it works like MATRIX mode.

Enter two vectors and store them
Add two vectors, and their dot product
Adding two vectors on a grid
Vector functions of the MATH menu