Dawnbridge

TI-Nspire CX II field manual for IB Math

AI HL only · 35 of 42

35

Matrix arithmetic

AI HL

Store two matrices and evaluate a matrix expression such as A3B on the calculation screen.

Goal

Given A=[1321] and B=[2103], find A3B.

1

Store the first matrix: type a:= with , insert a 2 x 2 matrix template with 7: Matrix & Vector1: Create1: Matrix — in the dialog, type to set the rows and columns ( moves between the fields; the arrows change the numbers instead). Fill the entries 1, 2, 3, 1 (move between cells with ), and press .

Scratchpad
RAD
a:=[1321]
[1321]
2

Store the second matrix the same way, but as b ( ).

Scratchpad
RAD
b:=[2103]
[2103]
3

Type , press on the touchpad to leave the exponent, then , and press .

Scratchpad
RAD
a3b
[56735457]
Result

A3B=[56735457].

Storing the matrices is optional — you can type both matrix templates straight into one expression, such as ([1321])3[2103], and evaluate it in one line. Named matrices earn their keystrokes when a question reuses A and B across several parts.

Your turn

Work each one on your calculator, then check the answer.

  1. 1

    Given A=[2111] and B=[1230], find A3B.

  2. 2

    Given A=[12−10] and B=[3012], find A3B.

  3. 3

    Given A=[0121] and B=[2310], find A3B.