IB Maths AI 1.11 Definitions

This page contains our IB Maths AI definitions for 1.11. By learning each one of these definitions, you will fully cover the content for IB Maths AI 'Introduction to matrices'.

All Topic 1 Sub-topics 1.1: Scientific Notation 1.2: Arithmetic Sequences 1.3: Geometric Sequences 1.4: Interest 1.5: Introduction To Exponents & Logs 1.6: Handling Numbers 1.7: Use Of Technology (HL)1.8: Advanced exponents & logs (HL)1.9: Introduction to complex numbers (HL)1.10: Advanced complex numbers (HL)1.11: Introduction to matrices (HL)1.12: Advanced matrices

A matrix product used to represent a system of linear equations in the form

Ax=b

, where

A

is the coefficient matrix and

x

is the column vector of variables.

column

A vertical line of elements in a matrix.

determinant

For a

2\times2

matrix

A=\begin{pmatrix}a&&b\\c&&d\end{pmatrix}

, the scalar

ad-bc

, which equals the product of the eigenvalues and is used in

\det\left(A-\lambda I\right)

element

A single entry in a matrix; the entry in row

i

and column

j

is written as

a_{ij}

Identity

A square matrix with ones on the main diagonal and zeros elsewhere, with the property that

AI=IA=A

for any compatible matrix

A

inverse

Describes an operation that undoes another operation; for example, if

a^x=b

then applying

\log_a

b

returns

x

order

The size of a matrix written as

m \times n

, where

m

is the number of rows and

n

is the number of columns.

row

A horizontal line of elements in a matrix.

scalar

A single number used to multiply a matrix by multiplying every element by that number.

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